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Finding the Third Proportional to 156,740 and 343,528

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Solution

The third proportional to 156,740 and 343,528 is: 752,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 343,528 = 343,528 : x
  2. Step 2: Convert to fraction form
    156,740/343,528 = 343,528/x
  3. Step 3: Cross multiply
    156,740x = 343,528 × 343,528
  4. Step 4: Simplify right side
    156,740x = 118,011,486,784
  5. Step 5: Solve for x
    x = 118,011,486,784/156,740
  6. Step 6: Final answer
    x = 752,912.38

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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.