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Finding the Third Proportional to 387,212 and 586,656

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Solution

The third proportional to 387,212 and 586,656 is: 888,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,212 : 586,656 = 586,656 : x
  2. Step 2: Convert to fraction form
    387,212/586,656 = 586,656/x
  3. Step 3: Cross multiply
    387,212x = 586,656 × 586,656
  4. Step 4: Simplify right side
    387,212x = 344,165,262,336
  5. Step 5: Solve for x
    x = 344,165,262,336/387,212
  6. Step 6: Final answer
    x = 888,829.02

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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.