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Finding the Third Proportional to 86,010 and 202,374.50

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Solution

The third proportional to 86,010 and 202,374.50 is: 476,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010 : 202,374.50 = 202,374.50 : x
  2. Step 2: Convert to fraction form
    86,010/202,374.50 = 202,374.50/x
  3. Step 3: Cross multiply
    86,010x = 202,374.50 × 202,374.50
  4. Step 4: Simplify right side
    86,010x = 40,955,438,250.25
  5. Step 5: Solve for x
    x = 40,955,438,250.25/86,010
  6. Step 6: Final answer
    x = 476,170.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.