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Finding the Third Proportional to 764,561 and 1,646,280

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Solution

The third proportional to 764,561 and 1,646,280 is: 3,544,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,561 : 1,646,280 = 1,646,280 : x
  2. Step 2: Convert to fraction form
    764,561/1,646,280 = 1,646,280/x
  3. Step 3: Cross multiply
    764,561x = 1,646,280 × 1,646,280
  4. Step 4: Simplify right side
    764,561x = 2,710,237,838,400
  5. Step 5: Solve for x
    x = 2,710,237,838,400/764,561
  6. Step 6: Final answer
    x = 3,544,828.78

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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.