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Finding the Third Proportional to 242,516 and 510,147

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Solution

The third proportional to 242,516 and 510,147 is: 1,073,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,516 : 510,147 = 510,147 : x
  2. Step 2: Convert to fraction form
    242,516/510,147 = 510,147/x
  3. Step 3: Cross multiply
    242,516x = 510,147 × 510,147
  4. Step 4: Simplify right side
    242,516x = 260,249,961,609
  5. Step 5: Solve for x
    x = 260,249,961,609/242,516
  6. Step 6: Final answer
    x = 1,073,124.91

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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.