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Finding the Third Proportional to 738,129 and 1,205,288

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Solution

The third proportional to 738,129 and 1,205,288 is: 1,968,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,129 : 1,205,288 = 1,205,288 : x
  2. Step 2: Convert to fraction form
    738,129/1,205,288 = 1,205,288/x
  3. Step 3: Cross multiply
    738,129x = 1,205,288 × 1,205,288
  4. Step 4: Simplify right side
    738,129x = 1,452,719,162,944
  5. Step 5: Solve for x
    x = 1,452,719,162,944/738,129
  6. Step 6: Final answer
    x = 1,968,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.