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Finding the Third Proportional to 308,484 and 420,248

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Solution

The third proportional to 308,484 and 420,248 is: 572,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,484 : 420,248 = 420,248 : x
  2. Step 2: Convert to fraction form
    308,484/420,248 = 420,248/x
  3. Step 3: Cross multiply
    308,484x = 420,248 × 420,248
  4. Step 4: Simplify right side
    308,484x = 176,608,381,504
  5. Step 5: Solve for x
    x = 176,608,381,504/308,484
  6. Step 6: Final answer
    x = 572,504.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.