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Finding the Third Proportional to 445,730 and 972,772

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Solution

The third proportional to 445,730 and 972,772 is: 2,123,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,730 : 972,772 = 972,772 : x
  2. Step 2: Convert to fraction form
    445,730/972,772 = 972,772/x
  3. Step 3: Cross multiply
    445,730x = 972,772 × 972,772
  4. Step 4: Simplify right side
    445,730x = 946,285,363,984
  5. Step 5: Solve for x
    x = 946,285,363,984/445,730
  6. Step 6: Final answer
    x = 2,123,001.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.