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Finding the Third Proportional to 687,565 and 1,010,285

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Solution

The third proportional to 687,565 and 1,010,285 is: 1,484,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,565 : 1,010,285 = 1,010,285 : x
  2. Step 2: Convert to fraction form
    687,565/1,010,285 = 1,010,285/x
  3. Step 3: Cross multiply
    687,565x = 1,010,285 × 1,010,285
  4. Step 4: Simplify right side
    687,565x = 1,020,675,781,225
  5. Step 5: Solve for x
    x = 1,020,675,781,225/687,565
  6. Step 6: Final answer
    x = 1,484,478.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.