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Finding the Third Proportional to 74,643 and 156,199.50

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Solution

The third proportional to 74,643 and 156,199.50 is: 326,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643 : 156,199.50 = 156,199.50 : x
  2. Step 2: Convert to fraction form
    74,643/156,199.50 = 156,199.50/x
  3. Step 3: Cross multiply
    74,643x = 156,199.50 × 156,199.50
  4. Step 4: Simplify right side
    74,643x = 24,398,283,800.25
  5. Step 5: Solve for x
    x = 24,398,283,800.25/74,643
  6. Step 6: Final answer
    x = 326,866.33

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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.