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Finding the Third Proportional to 420,835.50 and 652,963.88

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Solution

The third proportional to 420,835.50 and 652,963.88 is: 1,013,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,835.50 : 652,963.88 = 652,963.88 : x
  2. Step 2: Convert to fraction form
    420,835.50/652,963.88 = 652,963.88/x
  3. Step 3: Cross multiply
    420,835.50x = 652,963.88 × 652,963.88
  4. Step 4: Simplify right side
    420,835.50x = 426,361,822,055.02
  5. Step 5: Solve for x
    x = 426,361,822,055.02/420,835.50
  6. Step 6: Final answer
    x = 1,013,131.79

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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.