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Finding the Third Proportional to 74,643 and 115,570.50

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Solution

The third proportional to 74,643 and 115,570.50 is: 178,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643 : 115,570.50 = 115,570.50 : x
  2. Step 2: Convert to fraction form
    74,643/115,570.50 = 115,570.50/x
  3. Step 3: Cross multiply
    74,643x = 115,570.50 × 115,570.50
  4. Step 4: Simplify right side
    74,643x = 13,356,540,470.25
  5. Step 5: Solve for x
    x = 13,356,540,470.25/74,643
  6. Step 6: Final answer
    x = 178,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.