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Finding the Third Proportional to 368.77 and 567.40

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Solution

The third proportional to 368.77 and 567.40 is: 873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.77 : 567.40 = 567.40 : x
  2. Step 2: Convert to fraction form
    368.77/567.40 = 567.40/x
  3. Step 3: Cross multiply
    368.77x = 567.40 × 567.40
  4. Step 4: Simplify right side
    368.77x = 321,937.66
  5. Step 5: Solve for x
    x = 321,937.66/368.77
  6. Step 6: Final answer
    x = 873.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.