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Finding the Third Proportional to 145,928 and 314,176

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Solution

The third proportional to 145,928 and 314,176 is: 676,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,928 : 314,176 = 314,176 : x
  2. Step 2: Convert to fraction form
    145,928/314,176 = 314,176/x
  3. Step 3: Cross multiply
    145,928x = 314,176 × 314,176
  4. Step 4: Simplify right side
    145,928x = 98,706,558,976
  5. Step 5: Solve for x
    x = 98,706,558,976/145,928
  6. Step 6: Final answer
    x = 676,405.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.