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Finding the Third Proportional to 840,505 and 1,257,783

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Solution

The third proportional to 840,505 and 1,257,783 is: 1,882,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,505 : 1,257,783 = 1,257,783 : x
  2. Step 2: Convert to fraction form
    840,505/1,257,783 = 1,257,783/x
  3. Step 3: Cross multiply
    840,505x = 1,257,783 × 1,257,783
  4. Step 4: Simplify right side
    840,505x = 1,582,018,075,089
  5. Step 5: Solve for x
    x = 1,582,018,075,089/840,505
  6. Step 6: Final answer
    x = 1,882,223.28

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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.