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Finding the Third Proportional to 387,476 and 581,612

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Solution

The third proportional to 387,476 and 581,612 is: 873,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,476 : 581,612 = 581,612 : x
  2. Step 2: Convert to fraction form
    387,476/581,612 = 581,612/x
  3. Step 3: Cross multiply
    387,476x = 581,612 × 581,612
  4. Step 4: Simplify right side
    387,476x = 338,272,518,544
  5. Step 5: Solve for x
    x = 338,272,518,544/387,476
  6. Step 6: Final answer
    x = 873,015.41

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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.