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Finding the Third Proportional to 643,464 and 1,385,586

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Solution

The third proportional to 643,464 and 1,385,586 is: 2,983,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,464 : 1,385,586 = 1,385,586 : x
  2. Step 2: Convert to fraction form
    643,464/1,385,586 = 1,385,586/x
  3. Step 3: Cross multiply
    643,464x = 1,385,586 × 1,385,586
  4. Step 4: Simplify right side
    643,464x = 1,919,848,563,396
  5. Step 5: Solve for x
    x = 1,919,848,563,396/643,464
  6. Step 6: Final answer
    x = 2,983,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.