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Finding the Third Proportional to 388,348.50 and 803,656.50

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Solution

The third proportional to 388,348.50 and 803,656.50 is: 1,663,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,348.50 : 803,656.50 = 803,656.50 : x
  2. Step 2: Convert to fraction form
    388,348.50/803,656.50 = 803,656.50/x
  3. Step 3: Cross multiply
    388,348.50x = 803,656.50 × 803,656.50
  4. Step 4: Simplify right side
    388,348.50x = 645,863,769,992.25
  5. Step 5: Solve for x
    x = 645,863,769,992.25/388,348.50
  6. Step 6: Final answer
    x = 1,663,103.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.