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Finding the Third Proportional to 389,498.63 and 616,227.75

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Solution

The third proportional to 389,498.63 and 616,227.75 is: 974,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,498.63 : 616,227.75 = 616,227.75 : x
  2. Step 2: Convert to fraction form
    389,498.63/616,227.75 = 616,227.75/x
  3. Step 3: Cross multiply
    389,498.63x = 616,227.75 × 616,227.75
  4. Step 4: Simplify right side
    389,498.63x = 379,736,639,870.06
  5. Step 5: Solve for x
    x = 379,736,639,870.06/389,498.63
  6. Step 6: Final answer
    x = 974,937.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.