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Finding the Third Proportional to 317,498.25 and 679,185

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Solution

The third proportional to 317,498.25 and 679,185 is: 1,452,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,498.25 : 679,185 = 679,185 : x
  2. Step 2: Convert to fraction form
    317,498.25/679,185 = 679,185/x
  3. Step 3: Cross multiply
    317,498.25x = 679,185 × 679,185
  4. Step 4: Simplify right side
    317,498.25x = 461,292,264,225
  5. Step 5: Solve for x
    x = 461,292,264,225/317,498.25
  6. Step 6: Final answer
    x = 1,452,897.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.