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Finding the Third Proportional to 142,276 and 304,837

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Solution

The third proportional to 142,276 and 304,837 is: 653,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,276 : 304,837 = 304,837 : x
  2. Step 2: Convert to fraction form
    142,276/304,837 = 304,837/x
  3. Step 3: Cross multiply
    142,276x = 304,837 × 304,837
  4. Step 4: Simplify right side
    142,276x = 92,925,596,569
  5. Step 5: Solve for x
    x = 92,925,596,569/142,276
  6. Step 6: Final answer
    x = 653,136.13

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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.