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Finding the Third Proportional to 504.04 and 760.32

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Solution

The third proportional to 504.04 and 760.32 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.04 : 760.32 = 760.32 : x
  2. Step 2: Convert to fraction form
    504.04/760.32 = 760.32/x
  3. Step 3: Cross multiply
    504.04x = 760.32 × 760.32
  4. Step 4: Simplify right side
    504.04x = 578,092.92
  5. Step 5: Solve for x
    x = 578,092.92/504.04
  6. Step 6: Final answer
    x = 1,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.