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Finding the Third Proportional to 917,871.75 and 1,290,282.75

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Solution

The third proportional to 917,871.75 and 1,290,282.75 is: 1,813,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,871.75 : 1,290,282.75 = 1,290,282.75 : x
  2. Step 2: Convert to fraction form
    917,871.75/1,290,282.75 = 1,290,282.75/x
  3. Step 3: Cross multiply
    917,871.75x = 1,290,282.75 × 1,290,282.75
  4. Step 4: Simplify right side
    917,871.75x = 1,664,829,574,947.56
  5. Step 5: Solve for x
    x = 1,664,829,574,947.56/917,871.75
  6. Step 6: Final answer
    x = 1,813,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.