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Finding the Third Proportional to 758,428 and 1,621,831

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Solution

The third proportional to 758,428 and 1,621,831 is: 3,468,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,428 : 1,621,831 = 1,621,831 : x
  2. Step 2: Convert to fraction form
    758,428/1,621,831 = 1,621,831/x
  3. Step 3: Cross multiply
    758,428x = 1,621,831 × 1,621,831
  4. Step 4: Simplify right side
    758,428x = 2,630,335,792,561
  5. Step 5: Solve for x
    x = 2,630,335,792,561/758,428
  6. Step 6: Final answer
    x = 3,468,141.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.