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Finding the Third Proportional to 420,934.78 and 748,370.25

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Solution

The third proportional to 420,934.78 and 748,370.25 is: 1,330,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,934.78 : 748,370.25 = 748,370.25 : x
  2. Step 2: Convert to fraction form
    420,934.78/748,370.25 = 748,370.25/x
  3. Step 3: Cross multiply
    420,934.78x = 748,370.25 × 748,370.25
  4. Step 4: Simplify right side
    420,934.78x = 560,058,031,085.06
  5. Step 5: Solve for x
    x = 560,058,031,085.06/420,934.78
  6. Step 6: Final answer
    x = 1,330,510.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.