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Finding the Third Proportional to 643,490 and 979,071

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Solution

The third proportional to 643,490 and 979,071 is: 1,489,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,490 : 979,071 = 979,071 : x
  2. Step 2: Convert to fraction form
    643,490/979,071 = 979,071/x
  3. Step 3: Cross multiply
    643,490x = 979,071 × 979,071
  4. Step 4: Simplify right side
    643,490x = 958,580,023,041
  5. Step 5: Solve for x
    x = 958,580,023,041/643,490
  6. Step 6: Final answer
    x = 1,489,657.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.