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Finding the Third Proportional to 7,769,613 and 12,161,319

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Solution

The third proportional to 7,769,613 and 12,161,319 is: 19,035,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,613 : 12,161,319 = 12,161,319 : x
  2. Step 2: Convert to fraction form
    7,769,613/12,161,319 = 12,161,319/x
  3. Step 3: Cross multiply
    7,769,613x = 12,161,319 × 12,161,319
  4. Step 4: Simplify right side
    7,769,613x = 147,897,679,819,761
  5. Step 5: Solve for x
    x = 147,897,679,819,761/7,769,613
  6. Step 6: Final answer
    x = 19,035,398.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.