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Finding the Third Proportional to 74,316 and 158,712

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Solution

The third proportional to 74,316 and 158,712 is: 338,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,316 : 158,712 = 158,712 : x
  2. Step 2: Convert to fraction form
    74,316/158,712 = 158,712/x
  3. Step 3: Cross multiply
    74,316x = 158,712 × 158,712
  4. Step 4: Simplify right side
    74,316x = 25,189,498,944
  5. Step 5: Solve for x
    x = 25,189,498,944/74,316
  6. Step 6: Final answer
    x = 338,951.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.