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Finding the Third Proportional to 510.05 and 1,210.57

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Solution

The third proportional to 510.05 and 1,210.57 is: 2,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 1,210.57 = 1,210.57 : x
  2. Step 2: Convert to fraction form
    510.05/1,210.57 = 1,210.57/x
  3. Step 3: Cross multiply
    510.05x = 1,210.57 × 1,210.57
  4. Step 4: Simplify right side
    510.05x = 1,465,480.48
  5. Step 5: Solve for x
    x = 1,465,480.48/510.05
  6. Step 6: Final answer
    x = 2,873.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.