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Finding the Third Proportional to 249,714 and 391,305

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Solution

The third proportional to 249,714 and 391,305 is: 613,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,714 : 391,305 = 391,305 : x
  2. Step 2: Convert to fraction form
    249,714/391,305 = 391,305/x
  3. Step 3: Cross multiply
    249,714x = 391,305 × 391,305
  4. Step 4: Simplify right side
    249,714x = 153,119,603,025
  5. Step 5: Solve for x
    x = 153,119,603,025/249,714
  6. Step 6: Final answer
    x = 613,179.89

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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.