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Finding the Third Proportional to 272,427,312 and 422,995,460

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Solution

The third proportional to 272,427,312 and 422,995,460 is: 656,781,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,312 : 422,995,460 = 422,995,460 : x
  2. Step 2: Convert to fraction form
    272,427,312/422,995,460 = 422,995,460/x
  3. Step 3: Cross multiply
    272,427,312x = 422,995,460 × 422,995,460
  4. Step 4: Simplify right side
    272,427,312x = 178,925,159,180,611,584
  5. Step 5: Solve for x
    x = 178,925,159,180,611,584/272,427,312
  6. Step 6: Final answer
    x = 656,781,281.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.