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Finding the Third Proportional to 7,970,476 and 12,688,792

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Solution

The third proportional to 7,970,476 and 12,688,792 is: 20,200,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,476 : 12,688,792 = 12,688,792 : x
  2. Step 2: Convert to fraction form
    7,970,476/12,688,792 = 12,688,792/x
  3. Step 3: Cross multiply
    7,970,476x = 12,688,792 × 12,688,792
  4. Step 4: Simplify right side
    7,970,476x = 161,005,442,419,264
  5. Step 5: Solve for x
    x = 161,005,442,419,264/7,970,476
  6. Step 6: Final answer
    x = 20,200,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.