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Finding the Third Proportional to 259,280 and 562,820

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Solution

The third proportional to 259,280 and 562,820 is: 1,221,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,280 : 562,820 = 562,820 : x
  2. Step 2: Convert to fraction form
    259,280/562,820 = 562,820/x
  3. Step 3: Cross multiply
    259,280x = 562,820 × 562,820
  4. Step 4: Simplify right side
    259,280x = 316,766,352,400
  5. Step 5: Solve for x
    x = 316,766,352,400/259,280
  6. Step 6: Final answer
    x = 1,221,715.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.