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Finding the Third Proportional to 438,234 and 685,029.75

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Solution

The third proportional to 438,234 and 685,029.75 is: 1,070,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,234 : 685,029.75 = 685,029.75 : x
  2. Step 2: Convert to fraction form
    438,234/685,029.75 = 685,029.75/x
  3. Step 3: Cross multiply
    438,234x = 685,029.75 × 685,029.75
  4. Step 4: Simplify right side
    438,234x = 469,265,758,385.06
  5. Step 5: Solve for x
    x = 469,265,758,385.06/438,234
  6. Step 6: Final answer
    x = 1,070,810.93

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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.