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Finding the Third Proportional to 489,828 and 738,342

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Solution

The third proportional to 489,828 and 738,342 is: 1,112,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,828 : 738,342 = 738,342 : x
  2. Step 2: Convert to fraction form
    489,828/738,342 = 738,342/x
  3. Step 3: Cross multiply
    489,828x = 738,342 × 738,342
  4. Step 4: Simplify right side
    489,828x = 545,148,908,964
  5. Step 5: Solve for x
    x = 545,148,908,964/489,828
  6. Step 6: Final answer
    x = 1,112,939.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.