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Finding the Third Proportional to 489,012.50 and 748,053.75

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Solution

The third proportional to 489,012.50 and 748,053.75 is: 1,144,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,012.50 : 748,053.75 = 748,053.75 : x
  2. Step 2: Convert to fraction form
    489,012.50/748,053.75 = 748,053.75/x
  3. Step 3: Cross multiply
    489,012.50x = 748,053.75 × 748,053.75
  4. Step 4: Simplify right side
    489,012.50x = 559,584,412,889.06
  5. Step 5: Solve for x
    x = 559,584,412,889.06/489,012.50
  6. Step 6: Final answer
    x = 1,144,315.15

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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.