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Finding the Third Proportional to 308,158 and 473,451

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Solution

The third proportional to 308,158 and 473,451 is: 727,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,158 : 473,451 = 473,451 : x
  2. Step 2: Convert to fraction form
    308,158/473,451 = 473,451/x
  3. Step 3: Cross multiply
    308,158x = 473,451 × 473,451
  4. Step 4: Simplify right side
    308,158x = 224,155,849,401
  5. Step 5: Solve for x
    x = 224,155,849,401/308,158
  6. Step 6: Final answer
    x = 727,405.58

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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.