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Finding the Third Proportional to 602,833.50 and 820,959.75

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Solution

The third proportional to 602,833.50 and 820,959.75 is: 1,118,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,833.50 : 820,959.75 = 820,959.75 : x
  2. Step 2: Convert to fraction form
    602,833.50/820,959.75 = 820,959.75/x
  3. Step 3: Cross multiply
    602,833.50x = 820,959.75 × 820,959.75
  4. Step 4: Simplify right side
    602,833.50x = 673,974,911,120.06
  5. Step 5: Solve for x
    x = 673,974,911,120.06/602,833.50
  6. Step 6: Final answer
    x = 1,118,011.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.