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Finding the Third Proportional to 389,670.75 and 609,109.88

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Solution

The third proportional to 389,670.75 and 609,109.88 is: 952,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,670.75 : 609,109.88 = 609,109.88 : x
  2. Step 2: Convert to fraction form
    389,670.75/609,109.88 = 609,109.88/x
  3. Step 3: Cross multiply
    389,670.75x = 609,109.88 × 609,109.88
  4. Step 4: Simplify right side
    389,670.75x = 371,014,839,822.52
  5. Step 5: Solve for x
    x = 371,014,839,822.52/389,670.75
  6. Step 6: Final answer
    x = 952,123.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.