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Finding the Third Proportional to 7,627,780 and 11,309,730

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Solution

The third proportional to 7,627,780 and 11,309,730 is: 16,768,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627,780 : 11,309,730 = 11,309,730 : x
  2. Step 2: Convert to fraction form
    7,627,780/11,309,730 = 11,309,730/x
  3. Step 3: Cross multiply
    7,627,780x = 11,309,730 × 11,309,730
  4. Step 4: Simplify right side
    7,627,780x = 127,909,992,672,900
  5. Step 5: Solve for x
    x = 127,909,992,672,900/7,627,780
  6. Step 6: Final answer
    x = 16,768,967.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.