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Finding the Third Proportional to 387,062 and 586,428

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Solution

The third proportional to 387,062 and 586,428 is: 888,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,062 : 586,428 = 586,428 : x
  2. Step 2: Convert to fraction form
    387,062/586,428 = 586,428/x
  3. Step 3: Cross multiply
    387,062x = 586,428 × 586,428
  4. Step 4: Simplify right side
    387,062x = 343,897,799,184
  5. Step 5: Solve for x
    x = 343,897,799,184/387,062
  6. Step 6: Final answer
    x = 888,482.46

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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.