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Finding the Third Proportional to 7,872,246 and 12,854,668.50

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Solution

The third proportional to 7,872,246 and 12,854,668.50 is: 20,990,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,246 : 12,854,668.50 = 12,854,668.50 : x
  2. Step 2: Convert to fraction form
    7,872,246/12,854,668.50 = 12,854,668.50/x
  3. Step 3: Cross multiply
    7,872,246x = 12,854,668.50 × 12,854,668.50
  4. Step 4: Simplify right side
    7,872,246x = 165,242,502,244,892.25
  5. Step 5: Solve for x
    x = 165,242,502,244,892.25/7,872,246
  6. Step 6: Final answer
    x = 20,990,515.57

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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.