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Finding the Third Proportional to 52,867.13 and 77,840.44

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Solution

The third proportional to 52,867.13 and 77,840.44 is: 114,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.13 : 77,840.44 = 77,840.44 : x
  2. Step 2: Convert to fraction form
    52,867.13/77,840.44 = 77,840.44/x
  3. Step 3: Cross multiply
    52,867.13x = 77,840.44 × 77,840.44
  4. Step 4: Simplify right side
    52,867.13x = 6,059,133,710.19
  5. Step 5: Solve for x
    x = 6,059,133,710.19/52,867.13
  6. Step 6: Final answer
    x = 114,610.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.