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Finding the Third Proportional to 78,187.15 and 170,407.55

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Solution

The third proportional to 78,187.15 and 170,407.55 is: 371,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187.15 : 170,407.55 = 170,407.55 : x
  2. Step 2: Convert to fraction form
    78,187.15/170,407.55 = 170,407.55/x
  3. Step 3: Cross multiply
    78,187.15x = 170,407.55 × 170,407.55
  4. Step 4: Simplify right side
    78,187.15x = 29,038,732,031.96
  5. Step 5: Solve for x
    x = 29,038,732,031.96/78,187.15
  6. Step 6: Final answer
    x = 371,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.