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Finding the Third Proportional to 429,141.38 and 649,235.25

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Solution

The third proportional to 429,141.38 and 649,235.25 is: 982,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,141.38 : 649,235.25 = 649,235.25 : x
  2. Step 2: Convert to fraction form
    429,141.38/649,235.25 = 649,235.25/x
  3. Step 3: Cross multiply
    429,141.38x = 649,235.25 × 649,235.25
  4. Step 4: Simplify right side
    429,141.38x = 421,506,409,842.56
  5. Step 5: Solve for x
    x = 421,506,409,842.56/429,141.38
  6. Step 6: Final answer
    x = 982,208.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.