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Finding the Third Proportional to 291,428 and 393,716

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Solution

The third proportional to 291,428 and 393,716 is: 531,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,428 : 393,716 = 393,716 : x
  2. Step 2: Convert to fraction form
    291,428/393,716 = 393,716/x
  3. Step 3: Cross multiply
    291,428x = 393,716 × 393,716
  4. Step 4: Simplify right side
    291,428x = 155,012,288,656
  5. Step 5: Solve for x
    x = 155,012,288,656/291,428
  6. Step 6: Final answer
    x = 531,905.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.