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Finding the Third Proportional to 122,807.25 and 187,490.25

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Solution

The third proportional to 122,807.25 and 187,490.25 is: 286,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,807.25 : 187,490.25 = 187,490.25 : x
  2. Step 2: Convert to fraction form
    122,807.25/187,490.25 = 187,490.25/x
  3. Step 3: Cross multiply
    122,807.25x = 187,490.25 × 187,490.25
  4. Step 4: Simplify right side
    122,807.25x = 35,152,593,845.06
  5. Step 5: Solve for x
    x = 35,152,593,845.06/122,807.25
  6. Step 6: Final answer
    x = 286,242.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.