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Finding the Third Proportional to 342,579 and 521,957

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Solution

The third proportional to 342,579 and 521,957 is: 795,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,579 : 521,957 = 521,957 : x
  2. Step 2: Convert to fraction form
    342,579/521,957 = 521,957/x
  3. Step 3: Cross multiply
    342,579x = 521,957 × 521,957
  4. Step 4: Simplify right side
    342,579x = 272,439,109,849
  5. Step 5: Solve for x
    x = 272,439,109,849/342,579
  6. Step 6: Final answer
    x = 795,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.