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Finding the Third Proportional to 501,195 and 775,720.50

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Solution

The third proportional to 501,195 and 775,720.50 is: 1,200,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,195 : 775,720.50 = 775,720.50 : x
  2. Step 2: Convert to fraction form
    501,195/775,720.50 = 775,720.50/x
  3. Step 3: Cross multiply
    501,195x = 775,720.50 × 775,720.50
  4. Step 4: Simplify right side
    501,195x = 601,742,294,120.25
  5. Step 5: Solve for x
    x = 601,742,294,120.25/501,195
  6. Step 6: Final answer
    x = 1,200,615.12

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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.