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Finding the Third Proportional to 253,686.75 and 390,067.13

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Solution

The third proportional to 253,686.75 and 390,067.13 is: 599,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,686.75 : 390,067.13 = 390,067.13 : x
  2. Step 2: Convert to fraction form
    253,686.75/390,067.13 = 390,067.13/x
  3. Step 3: Cross multiply
    253,686.75x = 390,067.13 × 390,067.13
  4. Step 4: Simplify right side
    253,686.75x = 152,152,362,005.77
  5. Step 5: Solve for x
    x = 152,152,362,005.77/253,686.75
  6. Step 6: Final answer
    x = 599,764.72

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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.