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Finding the Third Proportional to 753,969 and 1,643,421

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Solution

The third proportional to 753,969 and 1,643,421 is: 3,582,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,969 : 1,643,421 = 1,643,421 : x
  2. Step 2: Convert to fraction form
    753,969/1,643,421 = 1,643,421/x
  3. Step 3: Cross multiply
    753,969x = 1,643,421 × 1,643,421
  4. Step 4: Simplify right side
    753,969x = 2,700,832,583,241
  5. Step 5: Solve for x
    x = 2,700,832,583,241/753,969
  6. Step 6: Final answer
    x = 3,582,153.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.