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Finding the Third Proportional to 316,140 and 761,892

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Solution

The third proportional to 316,140 and 761,892 is: 1,836,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,140 : 761,892 = 761,892 : x
  2. Step 2: Convert to fraction form
    316,140/761,892 = 761,892/x
  3. Step 3: Cross multiply
    316,140x = 761,892 × 761,892
  4. Step 4: Simplify right side
    316,140x = 580,479,419,664
  5. Step 5: Solve for x
    x = 580,479,419,664/316,140
  6. Step 6: Final answer
    x = 1,836,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.