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Finding the Third Proportional to 519,266 and 803,139

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Solution

The third proportional to 519,266 and 803,139 is: 1,242,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,266 : 803,139 = 803,139 : x
  2. Step 2: Convert to fraction form
    519,266/803,139 = 803,139/x
  3. Step 3: Cross multiply
    519,266x = 803,139 × 803,139
  4. Step 4: Simplify right side
    519,266x = 645,032,253,321
  5. Step 5: Solve for x
    x = 645,032,253,321/519,266
  6. Step 6: Final answer
    x = 1,242,200.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.