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Finding the Third Proportional to 315,086 and 691,402

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Solution

The third proportional to 315,086 and 691,402 is: 1,517,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086 : 691,402 = 691,402 : x
  2. Step 2: Convert to fraction form
    315,086/691,402 = 691,402/x
  3. Step 3: Cross multiply
    315,086x = 691,402 × 691,402
  4. Step 4: Simplify right side
    315,086x = 478,036,725,604
  5. Step 5: Solve for x
    x = 478,036,725,604/315,086
  6. Step 6: Final answer
    x = 1,517,162.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.