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Finding the Third Proportional to 469,968.75 and 685,148.25

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Solution

The third proportional to 469,968.75 and 685,148.25 is: 998,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,968.75 : 685,148.25 = 685,148.25 : x
  2. Step 2: Convert to fraction form
    469,968.75/685,148.25 = 685,148.25/x
  3. Step 3: Cross multiply
    469,968.75x = 685,148.25 × 685,148.25
  4. Step 4: Simplify right side
    469,968.75x = 469,428,124,478.06
  5. Step 5: Solve for x
    x = 469,428,124,478.06/469,968.75
  6. Step 6: Final answer
    x = 998,849.66

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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.