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Finding the Third Proportional to 489,002.25 and 748,032.75

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Solution

The third proportional to 489,002.25 and 748,032.75 is: 1,144,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,002.25 : 748,032.75 = 748,032.75 : x
  2. Step 2: Convert to fraction form
    489,002.25/748,032.75 = 748,032.75/x
  3. Step 3: Cross multiply
    489,002.25x = 748,032.75 × 748,032.75
  4. Step 4: Simplify right side
    489,002.25x = 559,552,995,072.56
  5. Step 5: Solve for x
    x = 559,552,995,072.56/489,002.25
  6. Step 6: Final answer
    x = 1,144,274.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.