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Finding the Third Proportional to 287,257 and 386,416

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Solution

The third proportional to 287,257 and 386,416 is: 519,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,257 : 386,416 = 386,416 : x
  2. Step 2: Convert to fraction form
    287,257/386,416 = 386,416/x
  3. Step 3: Cross multiply
    287,257x = 386,416 × 386,416
  4. Step 4: Simplify right side
    287,257x = 149,317,325,056
  5. Step 5: Solve for x
    x = 149,317,325,056/287,257
  6. Step 6: Final answer
    x = 519,803.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.