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Finding the Third Proportional to 145,087 and 315,094

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Solution

The third proportional to 145,087 and 315,094 is: 684,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,087 : 315,094 = 315,094 : x
  2. Step 2: Convert to fraction form
    145,087/315,094 = 315,094/x
  3. Step 3: Cross multiply
    145,087x = 315,094 × 315,094
  4. Step 4: Simplify right side
    145,087x = 99,284,228,836
  5. Step 5: Solve for x
    x = 99,284,228,836/145,087
  6. Step 6: Final answer
    x = 684,308.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.