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Finding the Third Proportional to 156,350,322 and 343,534,428

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Solution

The third proportional to 156,350,322 and 343,534,428 is: 754,817,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,350,322 : 343,534,428 = 343,534,428 : x
  2. Step 2: Convert to fraction form
    156,350,322/343,534,428 = 343,534,428/x
  3. Step 3: Cross multiply
    156,350,322x = 343,534,428 × 343,534,428
  4. Step 4: Simplify right side
    156,350,322x = 118,015,903,221,287,184
  5. Step 5: Solve for x
    x = 118,015,903,221,287,184/156,350,322
  6. Step 6: Final answer
    x = 754,817,142.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.