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Finding the Third Proportional to 420,967.13 and 647,017.88

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Solution

The third proportional to 420,967.13 and 647,017.88 is: 994,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,967.13 : 647,017.88 = 647,017.88 : x
  2. Step 2: Convert to fraction form
    420,967.13/647,017.88 = 647,017.88/x
  3. Step 3: Cross multiply
    420,967.13x = 647,017.88 × 647,017.88
  4. Step 4: Simplify right side
    420,967.13x = 418,632,130,569.52
  5. Step 5: Solve for x
    x = 418,632,130,569.52/420,967.13
  6. Step 6: Final answer
    x = 994,453.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.