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Finding the Third Proportional to 6,442,776 and 9,012,183.19

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Solution

The third proportional to 6,442,776 and 9,012,183.19 is: 12,606,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,776 : 9,012,183.19 = 9,012,183.19 : x
  2. Step 2: Convert to fraction form
    6,442,776/9,012,183.19 = 9,012,183.19/x
  3. Step 3: Cross multiply
    6,442,776x = 9,012,183.19 × 9,012,183.19
  4. Step 4: Simplify right side
    6,442,776x = 81,219,445,805,057.66
  5. Step 5: Solve for x
    x = 81,219,445,805,057.66/6,442,776
  6. Step 6: Final answer
    x = 12,606,281.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.