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Finding the Third Proportional to 489,277.13 and 689,013.38

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Solution

The third proportional to 489,277.13 and 689,013.38 is: 970,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,277.13 : 689,013.38 = 689,013.38 : x
  2. Step 2: Convert to fraction form
    489,277.13/689,013.38 = 689,013.38/x
  3. Step 3: Cross multiply
    489,277.13x = 689,013.38 × 689,013.38
  4. Step 4: Simplify right side
    489,277.13x = 474,739,430,928.89
  5. Step 5: Solve for x
    x = 474,739,430,928.89/489,277.13
  6. Step 6: Final answer
    x = 970,287.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.