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Finding the Third Proportional to 260,280 and 560,574

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Solution

The third proportional to 260,280 and 560,574 is: 1,207,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,280 : 560,574 = 560,574 : x
  2. Step 2: Convert to fraction form
    260,280/560,574 = 560,574/x
  3. Step 3: Cross multiply
    260,280x = 560,574 × 560,574
  4. Step 4: Simplify right side
    260,280x = 314,243,209,476
  5. Step 5: Solve for x
    x = 314,243,209,476/260,280
  6. Step 6: Final answer
    x = 1,207,327.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.