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Finding the Third Proportional to 393,428 and 577,231

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Solution

The third proportional to 393,428 and 577,231 is: 846,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,428 : 577,231 = 577,231 : x
  2. Step 2: Convert to fraction form
    393,428/577,231 = 577,231/x
  3. Step 3: Cross multiply
    393,428x = 577,231 × 577,231
  4. Step 4: Simplify right side
    393,428x = 333,195,627,361
  5. Step 5: Solve for x
    x = 333,195,627,361/393,428
  6. Step 6: Final answer
    x = 846,903.70

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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.