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Finding the Third Proportional to 56,320 and 78,739

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Solution

The third proportional to 56,320 and 78,739 is: 110,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320 : 78,739 = 78,739 : x
  2. Step 2: Convert to fraction form
    56,320/78,739 = 78,739/x
  3. Step 3: Cross multiply
    56,320x = 78,739 × 78,739
  4. Step 4: Simplify right side
    56,320x = 6,199,830,121
  5. Step 5: Solve for x
    x = 6,199,830,121/56,320
  6. Step 6: Final answer
    x = 110,082.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.