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Finding the Third Proportional to 7,847,424 and 12,124,416

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Solution

The third proportional to 7,847,424 and 12,124,416 is: 18,732,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847,424 : 12,124,416 = 12,124,416 : x
  2. Step 2: Convert to fraction form
    7,847,424/12,124,416 = 12,124,416/x
  3. Step 3: Cross multiply
    7,847,424x = 12,124,416 × 12,124,416
  4. Step 4: Simplify right side
    7,847,424x = 147,001,463,341,056
  5. Step 5: Solve for x
    x = 147,001,463,341,056/7,847,424
  6. Step 6: Final answer
    x = 18,732,448.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.