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Finding the Third Proportional to 420,248 and 645,920

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Solution

The third proportional to 420,248 and 645,920 is: 992,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,248 : 645,920 = 645,920 : x
  2. Step 2: Convert to fraction form
    420,248/645,920 = 645,920/x
  3. Step 3: Cross multiply
    420,248x = 645,920 × 645,920
  4. Step 4: Simplify right side
    420,248x = 417,212,646,400
  5. Step 5: Solve for x
    x = 417,212,646,400/420,248
  6. Step 6: Final answer
    x = 992,777.23

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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.