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Finding the Third Proportional to 156,730 and 343,507

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Solution

The third proportional to 156,730 and 343,507 is: 752,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,730 : 343,507 = 343,507 : x
  2. Step 2: Convert to fraction form
    156,730/343,507 = 343,507/x
  3. Step 3: Cross multiply
    156,730x = 343,507 × 343,507
  4. Step 4: Simplify right side
    156,730x = 117,997,059,049
  5. Step 5: Solve for x
    x = 117,997,059,049/156,730
  6. Step 6: Final answer
    x = 752,868.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.