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Finding the Third Proportional to 268,697 and 586,516

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Solution

The third proportional to 268,697 and 586,516 is: 1,280,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,697 : 586,516 = 586,516 : x
  2. Step 2: Convert to fraction form
    268,697/586,516 = 586,516/x
  3. Step 3: Cross multiply
    268,697x = 586,516 × 586,516
  4. Step 4: Simplify right side
    268,697x = 344,001,018,256
  5. Step 5: Solve for x
    x = 344,001,018,256/268,697
  6. Step 6: Final answer
    x = 1,280,256.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.