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Finding the Third Proportional to 163,316.25 and 256,639.50

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Solution

The third proportional to 163,316.25 and 256,639.50 is: 403,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,316.25 : 256,639.50 = 256,639.50 : x
  2. Step 2: Convert to fraction form
    163,316.25/256,639.50 = 256,639.50/x
  3. Step 3: Cross multiply
    163,316.25x = 256,639.50 × 256,639.50
  4. Step 4: Simplify right side
    163,316.25x = 65,863,832,960.25
  5. Step 5: Solve for x
    x = 65,863,832,960.25/163,316.25
  6. Step 6: Final answer
    x = 403,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.