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Finding the Third Proportional to 510.05 and 1,069.45

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Solution

The third proportional to 510.05 and 1,069.45 is: 2,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 1,069.45 = 1,069.45 : x
  2. Step 2: Convert to fraction form
    510.05/1,069.45 = 1,069.45/x
  3. Step 3: Cross multiply
    510.05x = 1,069.45 × 1,069.45
  4. Step 4: Simplify right side
    510.05x = 1,143,729.99
  5. Step 5: Solve for x
    x = 1,143,729.99/510.05
  6. Step 6: Final answer
    x = 2,242.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.