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Finding the Third Proportional to 840,176 and 1,275,798

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Solution

The third proportional to 840,176 and 1,275,798 is: 1,937,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,176 : 1,275,798 = 1,275,798 : x
  2. Step 2: Convert to fraction form
    840,176/1,275,798 = 1,275,798/x
  3. Step 3: Cross multiply
    840,176x = 1,275,798 × 1,275,798
  4. Step 4: Simplify right side
    840,176x = 1,627,660,536,804
  5. Step 5: Solve for x
    x = 1,627,660,536,804/840,176
  6. Step 6: Final answer
    x = 1,937,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.