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Finding the Third Proportional to 829,713 and 1,239,276

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Solution

The third proportional to 829,713 and 1,239,276 is: 1,851,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,713 : 1,239,276 = 1,239,276 : x
  2. Step 2: Convert to fraction form
    829,713/1,239,276 = 1,239,276/x
  3. Step 3: Cross multiply
    829,713x = 1,239,276 × 1,239,276
  4. Step 4: Simplify right side
    829,713x = 1,535,805,004,176
  5. Step 5: Solve for x
    x = 1,535,805,004,176/829,713
  6. Step 6: Final answer
    x = 1,851,007.52

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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.