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Finding the Third Proportional to 139,332 and 296,646

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Solution

The third proportional to 139,332 and 296,646 is: 631,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,332 : 296,646 = 296,646 : x
  2. Step 2: Convert to fraction form
    139,332/296,646 = 296,646/x
  3. Step 3: Cross multiply
    139,332x = 296,646 × 296,646
  4. Step 4: Simplify right side
    139,332x = 87,998,849,316
  5. Step 5: Solve for x
    x = 87,998,849,316/139,332
  6. Step 6: Final answer
    x = 631,576.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.