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Finding the Third Proportional to 265.59 and 389.06

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Solution

The third proportional to 265.59 and 389.06 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.59 : 389.06 = 389.06 : x
  2. Step 2: Convert to fraction form
    265.59/389.06 = 389.06/x
  3. Step 3: Cross multiply
    265.59x = 389.06 × 389.06
  4. Step 4: Simplify right side
    265.59x = 151,369.63
  5. Step 5: Solve for x
    x = 151,369.63/265.59
  6. Step 6: Final answer
    x = 569.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.