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Finding the Third Proportional to 389,372.25 and 569,275.88

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Solution

The third proportional to 389,372.25 and 569,275.88 is: 832,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,372.25 : 569,275.88 = 569,275.88 : x
  2. Step 2: Convert to fraction form
    389,372.25/569,275.88 = 569,275.88/x
  3. Step 3: Cross multiply
    389,372.25x = 569,275.88 × 569,275.88
  4. Step 4: Simplify right side
    389,372.25x = 324,075,021,857.02
  5. Step 5: Solve for x
    x = 324,075,021,857.02/389,372.25
  6. Step 6: Final answer
    x = 832,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.