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Finding the Third Proportional to 1,398,244.78 and 2,159,184.09

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Solution

The third proportional to 1,398,244.78 and 2,159,184.09 is: 3,334,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,244.78 : 2,159,184.09 = 2,159,184.09 : x
  2. Step 2: Convert to fraction form
    1,398,244.78/2,159,184.09 = 2,159,184.09/x
  3. Step 3: Cross multiply
    1,398,244.78x = 2,159,184.09 × 2,159,184.09
  4. Step 4: Simplify right side
    1,398,244.78x = 4,662,075,950,703.01
  5. Step 5: Solve for x
    x = 4,662,075,950,703.01/1,398,244.78
  6. Step 6: Final answer
    x = 3,334,234.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.