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Finding the Third Proportional to 261,823 and 402,940

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Solution

The third proportional to 261,823 and 402,940 is: 620,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,823 : 402,940 = 402,940 : x
  2. Step 2: Convert to fraction form
    261,823/402,940 = 402,940/x
  3. Step 3: Cross multiply
    261,823x = 402,940 × 402,940
  4. Step 4: Simplify right side
    261,823x = 162,360,643,600
  5. Step 5: Solve for x
    x = 162,360,643,600/261,823
  6. Step 6: Final answer
    x = 620,116.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.