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Finding the Third Proportional to 86,020 and 202,387.50

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Solution

The third proportional to 86,020 and 202,387.50 is: 476,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,020 : 202,387.50 = 202,387.50 : x
  2. Step 2: Convert to fraction form
    86,020/202,387.50 = 202,387.50/x
  3. Step 3: Cross multiply
    86,020x = 202,387.50 × 202,387.50
  4. Step 4: Simplify right side
    86,020x = 40,960,700,156.25
  5. Step 5: Solve for x
    x = 40,960,700,156.25/86,020
  6. Step 6: Final answer
    x = 476,176.47

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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.