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Finding the Third Proportional to 181,312 and 392,748

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Solution

The third proportional to 181,312 and 392,748 is: 850,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,312 : 392,748 = 392,748 : x
  2. Step 2: Convert to fraction form
    181,312/392,748 = 392,748/x
  3. Step 3: Cross multiply
    181,312x = 392,748 × 392,748
  4. Step 4: Simplify right side
    181,312x = 154,250,991,504
  5. Step 5: Solve for x
    x = 154,250,991,504/181,312
  6. Step 6: Final answer
    x = 850,748.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.