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Finding the Third Proportional to 393,421 and 577,217

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Solution

The third proportional to 393,421 and 577,217 is: 846,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,421 : 577,217 = 577,217 : x
  2. Step 2: Convert to fraction form
    393,421/577,217 = 577,217/x
  3. Step 3: Cross multiply
    393,421x = 577,217 × 577,217
  4. Step 4: Simplify right side
    393,421x = 333,179,465,089
  5. Step 5: Solve for x
    x = 333,179,465,089/393,421
  6. Step 6: Final answer
    x = 846,877.68

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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.