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Finding the Third Proportional to 315,259 and 442,371

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Solution

The third proportional to 315,259 and 442,371 is: 620,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,259 : 442,371 = 442,371 : x
  2. Step 2: Convert to fraction form
    315,259/442,371 = 442,371/x
  3. Step 3: Cross multiply
    315,259x = 442,371 × 442,371
  4. Step 4: Simplify right side
    315,259x = 195,692,101,641
  5. Step 5: Solve for x
    x = 195,692,101,641/315,259
  6. Step 6: Final answer
    x = 620,734.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.