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Finding the Third Proportional to 100,911,644 and 153,408,120

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Solution

The third proportional to 100,911,644 and 153,408,120 is: 233,214,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,911,644 : 153,408,120 = 153,408,120 : x
  2. Step 2: Convert to fraction form
    100,911,644/153,408,120 = 153,408,120/x
  3. Step 3: Cross multiply
    100,911,644x = 153,408,120 × 153,408,120
  4. Step 4: Simplify right side
    100,911,644x = 23,534,051,281,934,400
  5. Step 5: Solve for x
    x = 23,534,051,281,934,400/100,911,644
  6. Step 6: Final answer
    x = 233,214,427.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.