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Finding the Third Proportional to 698,163 and 1,085,509.13

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Solution

The third proportional to 698,163 and 1,085,509.13 is: 1,687,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,163 : 1,085,509.13 = 1,085,509.13 : x
  2. Step 2: Convert to fraction form
    698,163/1,085,509.13 = 1,085,509.13/x
  3. Step 3: Cross multiply
    698,163x = 1,085,509.13 × 1,085,509.13
  4. Step 4: Simplify right side
    698,163x = 1,178,330,060,458.27
  5. Step 5: Solve for x
    x = 1,178,330,060,458.27/698,163
  6. Step 6: Final answer
    x = 1,687,757.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.