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Finding the Third Proportional to 387,426 and 581,118

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Solution

The third proportional to 387,426 and 581,118 is: 871,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,426 : 581,118 = 581,118 : x
  2. Step 2: Convert to fraction form
    387,426/581,118 = 581,118/x
  3. Step 3: Cross multiply
    387,426x = 581,118 × 581,118
  4. Step 4: Simplify right side
    387,426x = 337,698,129,924
  5. Step 5: Solve for x
    x = 337,698,129,924/387,426
  6. Step 6: Final answer
    x = 871,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.