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Finding the Third Proportional to 342,340 and 503,817

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Solution

The third proportional to 342,340 and 503,817 is: 741,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,340 : 503,817 = 503,817 : x
  2. Step 2: Convert to fraction form
    342,340/503,817 = 503,817/x
  3. Step 3: Cross multiply
    342,340x = 503,817 × 503,817
  4. Step 4: Simplify right side
    342,340x = 253,831,569,489
  5. Step 5: Solve for x
    x = 253,831,569,489/342,340
  6. Step 6: Final answer
    x = 741,460.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.