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Finding the Third Proportional to 393,432 and 577,237

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Solution

The third proportional to 393,432 and 577,237 is: 846,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,432 : 577,237 = 577,237 : x
  2. Step 2: Convert to fraction form
    393,432/577,237 = 577,237/x
  3. Step 3: Cross multiply
    393,432x = 577,237 × 577,237
  4. Step 4: Simplify right side
    393,432x = 333,202,554,169
  5. Step 5: Solve for x
    x = 333,202,554,169/393,432
  6. Step 6: Final answer
    x = 846,912.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.