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Finding the Third Proportional to 306,470 and 475,743

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Solution

The third proportional to 306,470 and 475,743 is: 738,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,470 : 475,743 = 475,743 : x
  2. Step 2: Convert to fraction form
    306,470/475,743 = 475,743/x
  3. Step 3: Cross multiply
    306,470x = 475,743 × 475,743
  4. Step 4: Simplify right side
    306,470x = 226,331,402,049
  5. Step 5: Solve for x
    x = 226,331,402,049/306,470
  6. Step 6: Final answer
    x = 738,510.79

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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.