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Finding the Third Proportional to 302,190.75 and 657,760.50

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Solution

The third proportional to 302,190.75 and 657,760.50 is: 1,431,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190.75 : 657,760.50 = 657,760.50 : x
  2. Step 2: Convert to fraction form
    302,190.75/657,760.50 = 657,760.50/x
  3. Step 3: Cross multiply
    302,190.75x = 657,760.50 × 657,760.50
  4. Step 4: Simplify right side
    302,190.75x = 432,648,875,360.25
  5. Step 5: Solve for x
    x = 432,648,875,360.25/302,190.75
  6. Step 6: Final answer
    x = 1,431,707.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.