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Finding the Third Proportional to 976,284 and 2,102,432

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Solution

The third proportional to 976,284 and 2,102,432 is: 4,527,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,284 : 2,102,432 = 2,102,432 : x
  2. Step 2: Convert to fraction form
    976,284/2,102,432 = 2,102,432/x
  3. Step 3: Cross multiply
    976,284x = 2,102,432 × 2,102,432
  4. Step 4: Simplify right side
    976,284x = 4,420,220,314,624
  5. Step 5: Solve for x
    x = 4,420,220,314,624/976,284
  6. Step 6: Final answer
    x = 4,527,596.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.