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Finding the Third Proportional to 147,804.75 and 318,816

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Solution

The third proportional to 147,804.75 and 318,816 is: 687,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.75 : 318,816 = 318,816 : x
  2. Step 2: Convert to fraction form
    147,804.75/318,816 = 318,816/x
  3. Step 3: Cross multiply
    147,804.75x = 318,816 × 318,816
  4. Step 4: Simplify right side
    147,804.75x = 101,643,641,856
  5. Step 5: Solve for x
    x = 101,643,641,856/147,804.75
  6. Step 6: Final answer
    x = 687,688.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.