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Finding the Third Proportional to 100,748,597,580 and 220,476,109,464

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Solution

The third proportional to 100,748,597,580 and 220,476,109,464 is: 482,485,275,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748,597,580 : 220,476,109,464 = 220,476,109,464 : x
  2. Step 2: Convert to fraction form
    100,748,597,580/220,476,109,464 = 220,476,109,464/x
  3. Step 3: Cross multiply
    100,748,597,580x = 220,476,109,464 × 220,476,109,464
  4. Step 4: Simplify right side
    100,748,597,580x = 48,609,714,844,381,711,695,872
  5. Step 5: Solve for x
    x = 48,609,714,844,381,711,695,872/100,748,597,580
  6. Step 6: Final answer
    x = 482,485,275,348.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.