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Finding the Third Proportional to 489,007.50 and 748,041.75

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Solution

The third proportional to 489,007.50 and 748,041.75 is: 1,144,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,007.50 : 748,041.75 = 748,041.75 : x
  2. Step 2: Convert to fraction form
    489,007.50/748,041.75 = 748,041.75/x
  3. Step 3: Cross multiply
    489,007.50x = 748,041.75 × 748,041.75
  4. Step 4: Simplify right side
    489,007.50x = 559,566,459,743.06
  5. Step 5: Solve for x
    x = 559,566,459,743.06/489,007.50
  6. Step 6: Final answer
    x = 1,144,290.14

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Why These Related Problems?

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