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Finding the Third Proportional to 76,587 and 168,078

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Solution

The third proportional to 76,587 and 168,078 is: 368,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,587 : 168,078 = 168,078 : x
  2. Step 2: Convert to fraction form
    76,587/168,078 = 168,078/x
  3. Step 3: Cross multiply
    76,587x = 168,078 × 168,078
  4. Step 4: Simplify right side
    76,587x = 28,250,214,084
  5. Step 5: Solve for x
    x = 28,250,214,084/76,587
  6. Step 6: Final answer
    x = 368,864.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.