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Finding the Third Proportional to 85,870.13 and 153,285.75

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Solution

The third proportional to 85,870.13 and 153,285.75 is: 273,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 153,285.75 = 153,285.75 : x
  2. Step 2: Convert to fraction form
    85,870.13/153,285.75 = 153,285.75/x
  3. Step 3: Cross multiply
    85,870.13x = 153,285.75 × 153,285.75
  4. Step 4: Simplify right side
    85,870.13x = 23,496,521,153.06
  5. Step 5: Solve for x
    x = 23,496,521,153.06/85,870.13
  6. Step 6: Final answer
    x = 273,628.59

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.