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Finding the Third Proportional to 687,560.91 and 898,378.59

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Solution

The third proportional to 687,560.91 and 898,378.59 is: 1,173,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,560.91 : 898,378.59 = 898,378.59 : x
  2. Step 2: Convert to fraction form
    687,560.91/898,378.59 = 898,378.59/x
  3. Step 3: Cross multiply
    687,560.91x = 898,378.59 × 898,378.59
  4. Step 4: Simplify right side
    687,560.91x = 807,084,097,708.23
  5. Step 5: Solve for x
    x = 807,084,097,708.23/687,560.91
  6. Step 6: Final answer
    x = 1,173,836.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.