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Finding the Third Proportional to 56,000 and 86,709

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Solution

The third proportional to 56,000 and 86,709 is: 134,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000 : 86,709 = 86,709 : x
  2. Step 2: Convert to fraction form
    56,000/86,709 = 86,709/x
  3. Step 3: Cross multiply
    56,000x = 86,709 × 86,709
  4. Step 4: Simplify right side
    56,000x = 7,518,450,681
  5. Step 5: Solve for x
    x = 7,518,450,681/56,000
  6. Step 6: Final answer
    x = 134,258.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.