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Finding the Third Proportional to 420,117 and 645,750

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Solution

The third proportional to 420,117 and 645,750 is: 992,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,117 : 645,750 = 645,750 : x
  2. Step 2: Convert to fraction form
    420,117/645,750 = 645,750/x
  3. Step 3: Cross multiply
    420,117x = 645,750 × 645,750
  4. Step 4: Simplify right side
    420,117x = 416,993,062,500
  5. Step 5: Solve for x
    x = 416,993,062,500/420,117
  6. Step 6: Final answer
    x = 992,564.12

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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.