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Finding the Third Proportional to 156,973 and 343,287

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Solution

The third proportional to 156,973 and 343,287 is: 750,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,973 : 343,287 = 343,287 : x
  2. Step 2: Convert to fraction form
    156,973/343,287 = 343,287/x
  3. Step 3: Cross multiply
    156,973x = 343,287 × 343,287
  4. Step 4: Simplify right side
    156,973x = 117,845,964,369
  5. Step 5: Solve for x
    x = 117,845,964,369/156,973
  6. Step 6: Final answer
    x = 750,740.35

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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.