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Finding the Third Proportional to 8,242,432 and 12,608,416

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Solution

The third proportional to 8,242,432 and 12,608,416 is: 19,287,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,432 : 12,608,416 = 12,608,416 : x
  2. Step 2: Convert to fraction form
    8,242,432/12,608,416 = 12,608,416/x
  3. Step 3: Cross multiply
    8,242,432x = 12,608,416 × 12,608,416
  4. Step 4: Simplify right side
    8,242,432x = 158,972,154,029,056
  5. Step 5: Solve for x
    x = 158,972,154,029,056/8,242,432
  6. Step 6: Final answer
    x = 19,287,044.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.