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Finding the Third Proportional to 840,507 and 1,257,786

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Solution

The third proportional to 840,507 and 1,257,786 is: 1,882,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,507 : 1,257,786 = 1,257,786 : x
  2. Step 2: Convert to fraction form
    840,507/1,257,786 = 1,257,786/x
  3. Step 3: Cross multiply
    840,507x = 1,257,786 × 1,257,786
  4. Step 4: Simplify right side
    840,507x = 1,582,025,621,796
  5. Step 5: Solve for x
    x = 1,582,025,621,796/840,507
  6. Step 6: Final answer
    x = 1,882,227.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.