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Finding the Third Proportional to 387,086 and 608,277

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Solution

The third proportional to 387,086 and 608,277 is: 955,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,086 : 608,277 = 608,277 : x
  2. Step 2: Convert to fraction form
    387,086/608,277 = 608,277/x
  3. Step 3: Cross multiply
    387,086x = 608,277 × 608,277
  4. Step 4: Simplify right side
    387,086x = 370,000,908,729
  5. Step 5: Solve for x
    x = 370,000,908,729/387,086
  6. Step 6: Final answer
    x = 955,862.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.