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Finding the Third Proportional to 72,411 and 151,437

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Solution

The third proportional to 72,411 and 151,437 is: 316,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,411 : 151,437 = 151,437 : x
  2. Step 2: Convert to fraction form
    72,411/151,437 = 151,437/x
  3. Step 3: Cross multiply
    72,411x = 151,437 × 151,437
  4. Step 4: Simplify right side
    72,411x = 22,933,164,969
  5. Step 5: Solve for x
    x = 22,933,164,969/72,411
  6. Step 6: Final answer
    x = 316,708.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.