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Finding the Third Proportional to 142,278 and 304,841

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Solution

The third proportional to 142,278 and 304,841 is: 653,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278 : 304,841 = 304,841 : x
  2. Step 2: Convert to fraction form
    142,278/304,841 = 304,841/x
  3. Step 3: Cross multiply
    142,278x = 304,841 × 304,841
  4. Step 4: Simplify right side
    142,278x = 92,928,035,281
  5. Step 5: Solve for x
    x = 92,928,035,281/142,278
  6. Step 6: Final answer
    x = 653,144.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.