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Finding the Third Proportional to 389,539 and 586,871

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Solution

The third proportional to 389,539 and 586,871 is: 884,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,539 : 586,871 = 586,871 : x
  2. Step 2: Convert to fraction form
    389,539/586,871 = 586,871/x
  3. Step 3: Cross multiply
    389,539x = 586,871 × 586,871
  4. Step 4: Simplify right side
    389,539x = 344,417,570,641
  5. Step 5: Solve for x
    x = 344,417,570,641/389,539
  6. Step 6: Final answer
    x = 884,167.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.