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Finding the Third Proportional to 7,872,243 and 12,854,664

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Solution

The third proportional to 7,872,243 and 12,854,664 is: 20,990,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,243 : 12,854,664 = 12,854,664 : x
  2. Step 2: Convert to fraction form
    7,872,243/12,854,664 = 12,854,664/x
  3. Step 3: Cross multiply
    7,872,243x = 12,854,664 × 12,854,664
  4. Step 4: Simplify right side
    7,872,243x = 165,242,386,552,896
  5. Step 5: Solve for x
    x = 165,242,386,552,896/7,872,243
  6. Step 6: Final answer
    x = 20,990,508.87

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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.