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Finding the Third Proportional to 631,071 and 979,020

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Solution

The third proportional to 631,071 and 979,020 is: 1,518,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,071 : 979,020 = 979,020 : x
  2. Step 2: Convert to fraction form
    631,071/979,020 = 979,020/x
  3. Step 3: Cross multiply
    631,071x = 979,020 × 979,020
  4. Step 4: Simplify right side
    631,071x = 958,480,160,400
  5. Step 5: Solve for x
    x = 958,480,160,400/631,071
  6. Step 6: Final answer
    x = 1,518,815.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.