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Finding the Third Proportional to 142,479 and 304,641

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Solution

The third proportional to 142,479 and 304,641 is: 651,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,479 : 304,641 = 304,641 : x
  2. Step 2: Convert to fraction form
    142,479/304,641 = 304,641/x
  3. Step 3: Cross multiply
    142,479x = 304,641 × 304,641
  4. Step 4: Simplify right side
    142,479x = 92,806,138,881
  5. Step 5: Solve for x
    x = 92,806,138,881/142,479
  6. Step 6: Final answer
    x = 651,367.14

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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.