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Finding the Third Proportional to 475,320 and 691,578

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Solution

The third proportional to 475,320 and 691,578 is: 1,006,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,320 : 691,578 = 691,578 : x
  2. Step 2: Convert to fraction form
    475,320/691,578 = 691,578/x
  3. Step 3: Cross multiply
    475,320x = 691,578 × 691,578
  4. Step 4: Simplify right side
    475,320x = 478,280,130,084
  5. Step 5: Solve for x
    x = 478,280,130,084/475,320
  6. Step 6: Final answer
    x = 1,006,227.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.