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Finding the Third Proportional to 316,972.50 and 687,702

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Solution

The third proportional to 316,972.50 and 687,702 is: 1,492,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,972.50 : 687,702 = 687,702 : x
  2. Step 2: Convert to fraction form
    316,972.50/687,702 = 687,702/x
  3. Step 3: Cross multiply
    316,972.50x = 687,702 × 687,702
  4. Step 4: Simplify right side
    316,972.50x = 472,934,040,804
  5. Step 5: Solve for x
    x = 472,934,040,804/316,972.50
  6. Step 6: Final answer
    x = 1,492,034.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.