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Finding the Third Proportional to 986,820 and 2,125,905

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Solution

The third proportional to 986,820 and 2,125,905 is: 4,579,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,820 : 2,125,905 = 2,125,905 : x
  2. Step 2: Convert to fraction form
    986,820/2,125,905 = 2,125,905/x
  3. Step 3: Cross multiply
    986,820x = 2,125,905 × 2,125,905
  4. Step 4: Simplify right side
    986,820x = 4,519,472,069,025
  5. Step 5: Solve for x
    x = 4,519,472,069,025/986,820
  6. Step 6: Final answer
    x = 4,579,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.