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Finding the Third Proportional to 420,889.29 and 653,047.31

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Solution

The third proportional to 420,889.29 and 653,047.31 is: 1,013,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,889.29 : 653,047.31 = 653,047.31 : x
  2. Step 2: Convert to fraction form
    420,889.29/653,047.31 = 653,047.31/x
  3. Step 3: Cross multiply
    420,889.29x = 653,047.31 × 653,047.31
  4. Step 4: Simplify right side
    420,889.29x = 426,470,792,363.47
  5. Step 5: Solve for x
    x = 426,470,792,363.47/420,889.29
  6. Step 6: Final answer
    x = 1,013,261.21

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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.