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Finding the Third Proportional to 687,100 and 1,475,774

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Solution

The third proportional to 687,100 and 1,475,774 is: 3,169,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,100 : 1,475,774 = 1,475,774 : x
  2. Step 2: Convert to fraction form
    687,100/1,475,774 = 1,475,774/x
  3. Step 3: Cross multiply
    687,100x = 1,475,774 × 1,475,774
  4. Step 4: Simplify right side
    687,100x = 2,177,908,899,076
  5. Step 5: Solve for x
    x = 2,177,908,899,076/687,100
  6. Step 6: Final answer
    x = 3,169,711.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.