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Finding the Third Proportional to 432,340.88 and 690,671.63

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Solution

The third proportional to 432,340.88 and 690,671.63 is: 1,103,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,340.88 : 690,671.63 = 690,671.63 : x
  2. Step 2: Convert to fraction form
    432,340.88/690,671.63 = 690,671.63/x
  3. Step 3: Cross multiply
    432,340.88x = 690,671.63 × 690,671.63
  4. Step 4: Simplify right side
    432,340.88x = 477,027,293,580.14
  5. Step 5: Solve for x
    x = 477,027,293,580.14/432,340.88
  6. Step 6: Final answer
    x = 1,103,359.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.