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Finding the Third Proportional to 145,955.25 and 315,899.44

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Solution

The third proportional to 145,955.25 and 315,899.44 is: 683,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,955.25 : 315,899.44 = 315,899.44 : x
  2. Step 2: Convert to fraction form
    145,955.25/315,899.44 = 315,899.44/x
  3. Step 3: Cross multiply
    145,955.25x = 315,899.44 × 315,899.44
  4. Step 4: Simplify right side
    145,955.25x = 99,792,454,612.82
  5. Step 5: Solve for x
    x = 99,792,454,612.82/145,955.25
  6. Step 6: Final answer
    x = 683,719.53

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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.