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Finding the Third Proportional to 420,417 and 646,177.50

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Solution

The third proportional to 420,417 and 646,177.50 is: 993,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,417 : 646,177.50 = 646,177.50 : x
  2. Step 2: Convert to fraction form
    420,417/646,177.50 = 646,177.50/x
  3. Step 3: Cross multiply
    420,417x = 646,177.50 × 646,177.50
  4. Step 4: Simplify right side
    420,417x = 417,545,361,506.25
  5. Step 5: Solve for x
    x = 417,545,361,506.25/420,417
  6. Step 6: Final answer
    x = 993,169.55

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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.