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Finding the Third Proportional to 56,380 and 84,386

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Solution

The third proportional to 56,380 and 84,386 is: 126,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380 : 84,386 = 84,386 : x
  2. Step 2: Convert to fraction form
    56,380/84,386 = 84,386/x
  3. Step 3: Cross multiply
    56,380x = 84,386 × 84,386
  4. Step 4: Simplify right side
    56,380x = 7,120,996,996
  5. Step 5: Solve for x
    x = 7,120,996,996/56,380
  6. Step 6: Final answer
    x = 126,303.60

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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.