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Finding the Third Proportional to 420,396.75 and 651,250.13

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Solution

The third proportional to 420,396.75 and 651,250.13 is: 1,008,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,396.75 : 651,250.13 = 651,250.13 : x
  2. Step 2: Convert to fraction form
    420,396.75/651,250.13 = 651,250.13/x
  3. Step 3: Cross multiply
    420,396.75x = 651,250.13 × 651,250.13
  4. Step 4: Simplify right side
    420,396.75x = 424,126,725,312.52
  5. Step 5: Solve for x
    x = 424,126,725,312.52/420,396.75
  6. Step 6: Final answer
    x = 1,008,872.51

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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.