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Finding the Third Proportional to 142,257 and 304,755

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Solution

The third proportional to 142,257 and 304,755 is: 652,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,257 : 304,755 = 304,755 : x
  2. Step 2: Convert to fraction form
    142,257/304,755 = 304,755/x
  3. Step 3: Cross multiply
    142,257x = 304,755 × 304,755
  4. Step 4: Simplify right side
    142,257x = 92,875,610,025
  5. Step 5: Solve for x
    x = 92,875,610,025/142,257
  6. Step 6: Final answer
    x = 652,871.99

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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.