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Finding the Third Proportional to 242,518 and 510,151

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Solution

The third proportional to 242,518 and 510,151 is: 1,073,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,518 : 510,151 = 510,151 : x
  2. Step 2: Convert to fraction form
    242,518/510,151 = 510,151/x
  3. Step 3: Cross multiply
    242,518x = 510,151 × 510,151
  4. Step 4: Simplify right side
    242,518x = 260,254,042,801
  5. Step 5: Solve for x
    x = 260,254,042,801/242,518
  6. Step 6: Final answer
    x = 1,073,132.89

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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.