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Finding the Third Proportional to 432,360 and 687,030.75

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Solution

The third proportional to 432,360 and 687,030.75 is: 1,091,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,360 : 687,030.75 = 687,030.75 : x
  2. Step 2: Convert to fraction form
    432,360/687,030.75 = 687,030.75/x
  3. Step 3: Cross multiply
    432,360x = 687,030.75 × 687,030.75
  4. Step 4: Simplify right side
    432,360x = 472,011,251,445.56
  5. Step 5: Solve for x
    x = 472,011,251,445.56/432,360
  6. Step 6: Final answer
    x = 1,091,708.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.