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Finding the Third Proportional to 738,240 and 1,138,840.50

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Solution

The third proportional to 738,240 and 1,138,840.50 is: 1,756,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,240 : 1,138,840.50 = 1,138,840.50 : x
  2. Step 2: Convert to fraction form
    738,240/1,138,840.50 = 1,138,840.50/x
  3. Step 3: Cross multiply
    738,240x = 1,138,840.50 × 1,138,840.50
  4. Step 4: Simplify right side
    738,240x = 1,296,957,684,440.25
  5. Step 5: Solve for x
    x = 1,296,957,684,440.25/738,240
  6. Step 6: Final answer
    x = 1,756,823.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.