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Finding the Third Proportional to 787,533.75 and 1,221,720.75

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Solution

The third proportional to 787,533.75 and 1,221,720.75 is: 1,895,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,533.75 : 1,221,720.75 = 1,221,720.75 : x
  2. Step 2: Convert to fraction form
    787,533.75/1,221,720.75 = 1,221,720.75/x
  3. Step 3: Cross multiply
    787,533.75x = 1,221,720.75 × 1,221,720.75
  4. Step 4: Simplify right side
    787,533.75x = 1,492,601,590,980.56
  5. Step 5: Solve for x
    x = 1,492,601,590,980.56/787,533.75
  6. Step 6: Final answer
    x = 1,895,285.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.