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Finding the Third Proportional to 242,542.27 and 510,218.16

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Solution

The third proportional to 242,542.27 and 510,218.16 is: 1,073,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,542.27 : 510,218.16 = 510,218.16 : x
  2. Step 2: Convert to fraction form
    242,542.27/510,218.16 = 510,218.16/x
  3. Step 3: Cross multiply
    242,542.27x = 510,218.16 × 510,218.16
  4. Step 4: Simplify right side
    242,542.27x = 260,322,566,967.15
  5. Step 5: Solve for x
    x = 260,322,566,967.15/242,542.27
  6. Step 6: Final answer
    x = 1,073,308.05

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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.