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Finding the Third Proportional to 311,155.75 and 480,554.01

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Solution

The third proportional to 311,155.75 and 480,554.01 is: 742,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,155.75 : 480,554.01 = 480,554.01 : x
  2. Step 2: Convert to fraction form
    311,155.75/480,554.01 = 480,554.01/x
  3. Step 3: Cross multiply
    311,155.75x = 480,554.01 × 480,554.01
  4. Step 4: Simplify right side
    311,155.75x = 230,932,152,430.14
  5. Step 5: Solve for x
    x = 230,932,152,430.14/311,155.75
  6. Step 6: Final answer
    x = 742,175.44

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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.