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Finding the Third Proportional to 385,886 and 581,259

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Solution

The third proportional to 385,886 and 581,259 is: 875,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,886 : 581,259 = 581,259 : x
  2. Step 2: Convert to fraction form
    385,886/581,259 = 581,259/x
  3. Step 3: Cross multiply
    385,886x = 581,259 × 581,259
  4. Step 4: Simplify right side
    385,886x = 337,862,025,081
  5. Step 5: Solve for x
    x = 337,862,025,081/385,886
  6. Step 6: Final answer
    x = 875,548.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.