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Finding the Third Proportional to 260,486 and 390,657

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Solution

The third proportional to 260,486 and 390,657 is: 585,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,486 : 390,657 = 390,657 : x
  2. Step 2: Convert to fraction form
    260,486/390,657 = 390,657/x
  3. Step 3: Cross multiply
    260,486x = 390,657 × 390,657
  4. Step 4: Simplify right side
    260,486x = 152,612,891,649
  5. Step 5: Solve for x
    x = 152,612,891,649/260,486
  6. Step 6: Final answer
    x = 585,877.52

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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.