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Finding the Third Proportional to 249,226 and 391,695

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Solution

The third proportional to 249,226 and 391,695 is: 615,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,226 : 391,695 = 391,695 : x
  2. Step 2: Convert to fraction form
    249,226/391,695 = 391,695/x
  3. Step 3: Cross multiply
    249,226x = 391,695 × 391,695
  4. Step 4: Simplify right side
    249,226x = 153,424,973,025
  5. Step 5: Solve for x
    x = 153,424,973,025/249,226
  6. Step 6: Final answer
    x = 615,605.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.