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Finding the Third Proportional to 268,720 and 579,397

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Solution

The third proportional to 268,720 and 579,397 is: 1,249,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,720 : 579,397 = 579,397 : x
  2. Step 2: Convert to fraction form
    268,720/579,397 = 579,397/x
  3. Step 3: Cross multiply
    268,720x = 579,397 × 579,397
  4. Step 4: Simplify right side
    268,720x = 335,700,883,609
  5. Step 5: Solve for x
    x = 335,700,883,609/268,720
  6. Step 6: Final answer
    x = 1,249,259.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.