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Finding the Third Proportional to 489,037.50 and 730,731.38

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Solution

The third proportional to 489,037.50 and 730,731.38 is: 1,091,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,037.50 : 730,731.38 = 730,731.38 : x
  2. Step 2: Convert to fraction form
    489,037.50/730,731.38 = 730,731.38/x
  3. Step 3: Cross multiply
    489,037.50x = 730,731.38 × 730,731.38
  4. Step 4: Simplify right side
    489,037.50x = 533,968,342,409.39
  5. Step 5: Solve for x
    x = 533,968,342,409.39/489,037.50
  6. Step 6: Final answer
    x = 1,091,876.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.