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Finding the Third Proportional to 142,278 and 304,842

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Solution

The third proportional to 142,278 and 304,842 is: 653,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278 : 304,842 = 304,842 : x
  2. Step 2: Convert to fraction form
    142,278/304,842 = 304,842/x
  3. Step 3: Cross multiply
    142,278x = 304,842 × 304,842
  4. Step 4: Simplify right side
    142,278x = 92,928,644,964
  5. Step 5: Solve for x
    x = 92,928,644,964/142,278
  6. Step 6: Final answer
    x = 653,148.38

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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.