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Finding the Third Proportional to 691,509 and 932,205

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Solution

The third proportional to 691,509 and 932,205 is: 1,256,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,509 : 932,205 = 932,205 : x
  2. Step 2: Convert to fraction form
    691,509/932,205 = 932,205/x
  3. Step 3: Cross multiply
    691,509x = 932,205 × 932,205
  4. Step 4: Simplify right side
    691,509x = 869,006,162,025
  5. Step 5: Solve for x
    x = 869,006,162,025/691,509
  6. Step 6: Final answer
    x = 1,256,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.