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Finding the Third Proportional to 387,011 and 586,355

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Solution

The third proportional to 387,011 and 586,355 is: 888,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,011 : 586,355 = 586,355 : x
  2. Step 2: Convert to fraction form
    387,011/586,355 = 586,355/x
  3. Step 3: Cross multiply
    387,011x = 586,355 × 586,355
  4. Step 4: Simplify right side
    387,011x = 343,812,186,025
  5. Step 5: Solve for x
    x = 343,812,186,025/387,011
  6. Step 6: Final answer
    x = 888,378.33

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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.