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Finding the Third Proportional to 100,418,480,102 and 218,488,039,402

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Solution

The third proportional to 100,418,480,102 and 218,488,039,402 is: 475,380,859,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418,480,102 : 218,488,039,402 = 218,488,039,402 : x
  2. Step 2: Convert to fraction form
    100,418,480,102/218,488,039,402 = 218,488,039,402/x
  3. Step 3: Cross multiply
    100,418,480,102x = 218,488,039,402 × 218,488,039,402
  4. Step 4: Simplify right side
    100,418,480,102x = 47,737,023,361,729,903,460,352
  5. Step 5: Solve for x
    x = 47,737,023,361,729,903,460,352/100,418,480,102
  6. Step 6: Final answer
    x = 475,380,859,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.