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Finding the Third Proportional to 308,488 and 420,254

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Solution

The third proportional to 308,488 and 420,254 is: 572,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,488 : 420,254 = 420,254 : x
  2. Step 2: Convert to fraction form
    308,488/420,254 = 420,254/x
  3. Step 3: Cross multiply
    308,488x = 420,254 × 420,254
  4. Step 4: Simplify right side
    308,488x = 176,613,424,516
  5. Step 5: Solve for x
    x = 176,613,424,516/308,488
  6. Step 6: Final answer
    x = 572,513.11

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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.