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Finding the Third Proportional to 817,620.75 and 1,145,731.50

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Solution

The third proportional to 817,620.75 and 1,145,731.50 is: 1,605,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,620.75 : 1,145,731.50 = 1,145,731.50 : x
  2. Step 2: Convert to fraction form
    817,620.75/1,145,731.50 = 1,145,731.50/x
  3. Step 3: Cross multiply
    817,620.75x = 1,145,731.50 × 1,145,731.50
  4. Step 4: Simplify right side
    817,620.75x = 1,312,700,670,092.25
  5. Step 5: Solve for x
    x = 1,312,700,670,092.25/817,620.75
  6. Step 6: Final answer
    x = 1,605,512.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.