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Finding the Third Proportional to 427,090.50 and 575,329.50

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Solution

The third proportional to 427,090.50 and 575,329.50 is: 775,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,090.50 : 575,329.50 = 575,329.50 : x
  2. Step 2: Convert to fraction form
    427,090.50/575,329.50 = 575,329.50/x
  3. Step 3: Cross multiply
    427,090.50x = 575,329.50 × 575,329.50
  4. Step 4: Simplify right side
    427,090.50x = 331,004,033,570.25
  5. Step 5: Solve for x
    x = 331,004,033,570.25/427,090.50
  6. Step 6: Final answer
    x = 775,020.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.