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Finding the Third Proportional to 306,740 and 473,792

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Solution

The third proportional to 306,740 and 473,792 is: 731,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,740 : 473,792 = 473,792 : x
  2. Step 2: Convert to fraction form
    306,740/473,792 = 473,792/x
  3. Step 3: Cross multiply
    306,740x = 473,792 × 473,792
  4. Step 4: Simplify right side
    306,740x = 224,478,859,264
  5. Step 5: Solve for x
    x = 224,478,859,264/306,740
  6. Step 6: Final answer
    x = 731,821.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.