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Finding the Third Proportional to 259,656 and 390,420

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Solution

The third proportional to 259,656 and 390,420 is: 587,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,656 : 390,420 = 390,420 : x
  2. Step 2: Convert to fraction form
    259,656/390,420 = 390,420/x
  3. Step 3: Cross multiply
    259,656x = 390,420 × 390,420
  4. Step 4: Simplify right side
    259,656x = 152,427,776,400
  5. Step 5: Solve for x
    x = 152,427,776,400/259,656
  6. Step 6: Final answer
    x = 587,037.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.