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Finding the Third Proportional to 145,896 and 314,112

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Solution

The third proportional to 145,896 and 314,112 is: 676,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896 : 314,112 = 314,112 : x
  2. Step 2: Convert to fraction form
    145,896/314,112 = 314,112/x
  3. Step 3: Cross multiply
    145,896x = 314,112 × 314,112
  4. Step 4: Simplify right side
    145,896x = 98,666,348,544
  5. Step 5: Solve for x
    x = 98,666,348,544/145,896
  6. Step 6: Final answer
    x = 676,278.64

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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.