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Finding the Third Proportional to 230,710.50 and 310,425.75

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Solution

The third proportional to 230,710.50 and 310,425.75 is: 417,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,710.50 : 310,425.75 = 310,425.75 : x
  2. Step 2: Convert to fraction form
    230,710.50/310,425.75 = 310,425.75/x
  3. Step 3: Cross multiply
    230,710.50x = 310,425.75 × 310,425.75
  4. Step 4: Simplify right side
    230,710.50x = 96,364,146,263.06
  5. Step 5: Solve for x
    x = 96,364,146,263.06/230,710.50
  6. Step 6: Final answer
    x = 417,684.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.