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Finding the Third Proportional to 275,235 and 411,567.75

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Solution

The third proportional to 275,235 and 411,567.75 is: 615,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,235 : 411,567.75 = 411,567.75 : x
  2. Step 2: Convert to fraction form
    275,235/411,567.75 = 411,567.75/x
  3. Step 3: Cross multiply
    275,235x = 411,567.75 × 411,567.75
  4. Step 4: Simplify right side
    275,235x = 169,388,012,840.06
  5. Step 5: Solve for x
    x = 169,388,012,840.06/275,235
  6. Step 6: Final answer
    x = 615,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.