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Finding the Third Proportional to 142,220 and 304,680

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Solution

The third proportional to 142,220 and 304,680 is: 652,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,220 : 304,680 = 304,680 : x
  2. Step 2: Convert to fraction form
    142,220/304,680 = 304,680/x
  3. Step 3: Cross multiply
    142,220x = 304,680 × 304,680
  4. Step 4: Simplify right side
    142,220x = 92,829,902,400
  5. Step 5: Solve for x
    x = 92,829,902,400/142,220
  6. Step 6: Final answer
    x = 652,720.45

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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.