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Finding the Third Proportional to 142,470 and 304,704

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Solution

The third proportional to 142,470 and 304,704 is: 651,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470 : 304,704 = 304,704 : x
  2. Step 2: Convert to fraction form
    142,470/304,704 = 304,704/x
  3. Step 3: Cross multiply
    142,470x = 304,704 × 304,704
  4. Step 4: Simplify right side
    142,470x = 92,844,527,616
  5. Step 5: Solve for x
    x = 92,844,527,616/142,470
  6. Step 6: Final answer
    x = 651,677.74

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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.