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Finding the Third Proportional to 77,440 and 115,858

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Solution

The third proportional to 77,440 and 115,858 is: 173,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,440 : 115,858 = 115,858 : x
  2. Step 2: Convert to fraction form
    77,440/115,858 = 115,858/x
  3. Step 3: Cross multiply
    77,440x = 115,858 × 115,858
  4. Step 4: Simplify right side
    77,440x = 13,423,076,164
  5. Step 5: Solve for x
    x = 13,423,076,164/77,440
  6. Step 6: Final answer
    x = 173,335.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.