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Finding the Third Proportional to 829,001.25 and 1,238,378.63

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Solution

The third proportional to 829,001.25 and 1,238,378.63 is: 1,849,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,001.25 : 1,238,378.63 = 1,238,378.63 : x
  2. Step 2: Convert to fraction form
    829,001.25/1,238,378.63 = 1,238,378.63/x
  3. Step 3: Cross multiply
    829,001.25x = 1,238,378.63 × 1,238,378.63
  4. Step 4: Simplify right side
    829,001.25x = 1,533,581,618,856.89
  5. Step 5: Solve for x
    x = 1,533,581,618,856.89/829,001.25
  6. Step 6: Final answer
    x = 1,849,914.72

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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.