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Finding the Third Proportional to 583,381 and 899,961

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Solution

The third proportional to 583,381 and 899,961 is: 1,388,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,381 : 899,961 = 899,961 : x
  2. Step 2: Convert to fraction form
    583,381/899,961 = 899,961/x
  3. Step 3: Cross multiply
    583,381x = 899,961 × 899,961
  4. Step 4: Simplify right side
    583,381x = 809,929,801,521
  5. Step 5: Solve for x
    x = 809,929,801,521/583,381
  6. Step 6: Final answer
    x = 1,388,337.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.