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Finding the Third Proportional to 289,330 and 442,332

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Solution

The third proportional to 289,330 and 442,332 is: 676,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,330 : 442,332 = 442,332 : x
  2. Step 2: Convert to fraction form
    289,330/442,332 = 442,332/x
  3. Step 3: Cross multiply
    289,330x = 442,332 × 442,332
  4. Step 4: Simplify right side
    289,330x = 195,657,598,224
  5. Step 5: Solve for x
    x = 195,657,598,224/289,330
  6. Step 6: Final answer
    x = 676,243.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.