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Finding the Third Proportional to 122,711,246 and 272,662,642

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Solution

The third proportional to 122,711,246 and 272,662,642 is: 605,852,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711,246 : 272,662,642 = 272,662,642 : x
  2. Step 2: Convert to fraction form
    122,711,246/272,662,642 = 272,662,642/x
  3. Step 3: Cross multiply
    122,711,246x = 272,662,642 × 272,662,642
  4. Step 4: Simplify right side
    122,711,246x = 74,344,916,342,420,160
  5. Step 5: Solve for x
    x = 74,344,916,342,420,160/122,711,246
  6. Step 6: Final answer
    x = 605,852,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.