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Finding the Third Proportional to 357,456 and 527,862

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Solution

The third proportional to 357,456 and 527,862 is: 779,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,456 : 527,862 = 527,862 : x
  2. Step 2: Convert to fraction form
    357,456/527,862 = 527,862/x
  3. Step 3: Cross multiply
    357,456x = 527,862 × 527,862
  4. Step 4: Simplify right side
    357,456x = 278,638,291,044
  5. Step 5: Solve for x
    x = 278,638,291,044/357,456
  6. Step 6: Final answer
    x = 779,503.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.