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Finding the Third Proportional to 145,772 and 314,512

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Solution

The third proportional to 145,772 and 314,512 is: 678,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,772 : 314,512 = 314,512 : x
  2. Step 2: Convert to fraction form
    145,772/314,512 = 314,512/x
  3. Step 3: Cross multiply
    145,772x = 314,512 × 314,512
  4. Step 4: Simplify right side
    145,772x = 98,917,798,144
  5. Step 5: Solve for x
    x = 98,917,798,144/145,772
  6. Step 6: Final answer
    x = 678,578.86

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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.