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Finding the Third Proportional to 448,410 and 680,919

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Solution

The third proportional to 448,410 and 680,919 is: 1,033,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,410 : 680,919 = 680,919 : x
  2. Step 2: Convert to fraction form
    448,410/680,919 = 680,919/x
  3. Step 3: Cross multiply
    448,410x = 680,919 × 680,919
  4. Step 4: Simplify right side
    448,410x = 463,650,684,561
  5. Step 5: Solve for x
    x = 463,650,684,561/448,410
  6. Step 6: Final answer
    x = 1,033,988.28

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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.