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Finding the Third Proportional to 580,299 and 887,621

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Solution

The third proportional to 580,299 and 887,621 is: 1,357,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,299 : 887,621 = 887,621 : x
  2. Step 2: Convert to fraction form
    580,299/887,621 = 887,621/x
  3. Step 3: Cross multiply
    580,299x = 887,621 × 887,621
  4. Step 4: Simplify right side
    580,299x = 787,871,039,641
  5. Step 5: Solve for x
    x = 787,871,039,641/580,299
  6. Step 6: Final answer
    x = 1,357,698.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.