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Finding the Third Proportional to 429,855.75 and 645,863.63

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Solution

The third proportional to 429,855.75 and 645,863.63 is: 970,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,855.75 : 645,863.63 = 645,863.63 : x
  2. Step 2: Convert to fraction form
    429,855.75/645,863.63 = 645,863.63/x
  3. Step 3: Cross multiply
    429,855.75x = 645,863.63 × 645,863.63
  4. Step 4: Simplify right side
    429,855.75x = 417,139,822,098.14
  5. Step 5: Solve for x
    x = 417,139,822,098.14/429,855.75
  6. Step 6: Final answer
    x = 970,418.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.