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Finding the Third Proportional to 315,432.56 and 691,934.06

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Solution

The third proportional to 315,432.56 and 691,934.06 is: 1,517,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,432.56 : 691,934.06 = 691,934.06 : x
  2. Step 2: Convert to fraction form
    315,432.56/691,934.06 = 691,934.06/x
  3. Step 3: Cross multiply
    315,432.56x = 691,934.06 × 691,934.06
  4. Step 4: Simplify right side
    315,432.56x = 478,772,746,847.75
  5. Step 5: Solve for x
    x = 478,772,746,847.75/315,432.56
  6. Step 6: Final answer
    x = 1,517,829.18

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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.