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Finding the Third Proportional to 268.15 and 390.01

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Solution

The third proportional to 268.15 and 390.01 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.15 : 390.01 = 390.01 : x
  2. Step 2: Convert to fraction form
    268.15/390.01 = 390.01/x
  3. Step 3: Cross multiply
    268.15x = 390.01 × 390.01
  4. Step 4: Simplify right side
    268.15x = 152,108.00
  5. Step 5: Solve for x
    x = 152,108.00/268.15
  6. Step 6: Final answer
    x = 567.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.