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Finding the Third Proportional to 180,978.75 and 286,807.50

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Solution

The third proportional to 180,978.75 and 286,807.50 is: 454,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978.75 : 286,807.50 = 286,807.50 : x
  2. Step 2: Convert to fraction form
    180,978.75/286,807.50 = 286,807.50/x
  3. Step 3: Cross multiply
    180,978.75x = 286,807.50 × 286,807.50
  4. Step 4: Simplify right side
    180,978.75x = 82,258,542,056.25
  5. Step 5: Solve for x
    x = 82,258,542,056.25/180,978.75
  6. Step 6: Final answer
    x = 454,520.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.