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Finding the Third Proportional to 239,470 and 348,674

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Solution

The third proportional to 239,470 and 348,674 is: 507,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,470 : 348,674 = 348,674 : x
  2. Step 2: Convert to fraction form
    239,470/348,674 = 348,674/x
  3. Step 3: Cross multiply
    239,470x = 348,674 × 348,674
  4. Step 4: Simplify right side
    239,470x = 121,573,558,276
  5. Step 5: Solve for x
    x = 121,573,558,276/239,470
  6. Step 6: Final answer
    x = 507,677.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.