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Finding the Third Proportional to 389,012.63 and 591,515.16

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Solution

The third proportional to 389,012.63 and 591,515.16 is: 899,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,012.63 : 591,515.16 = 591,515.16 : x
  2. Step 2: Convert to fraction form
    389,012.63/591,515.16 = 591,515.16/x
  3. Step 3: Cross multiply
    389,012.63x = 591,515.16 × 591,515.16
  4. Step 4: Simplify right side
    389,012.63x = 349,890,180,073.46
  5. Step 5: Solve for x
    x = 349,890,180,073.46/389,012.63
  6. Step 6: Final answer
    x = 899,431.43

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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.