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Finding the Third Proportional to 7,872,232 and 12,854,646

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Solution

The third proportional to 7,872,232 and 12,854,646 is: 20,990,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,232 : 12,854,646 = 12,854,646 : x
  2. Step 2: Convert to fraction form
    7,872,232/12,854,646 = 12,854,646/x
  3. Step 3: Cross multiply
    7,872,232x = 12,854,646 × 12,854,646
  4. Step 4: Simplify right side
    7,872,232x = 165,241,923,785,316
  5. Step 5: Solve for x
    x = 165,241,923,785,316/7,872,232
  6. Step 6: Final answer
    x = 20,990,479.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.