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Finding the Third Proportional to 140,564 and 302,620

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Solution

The third proportional to 140,564 and 302,620 is: 651,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564 : 302,620 = 302,620 : x
  2. Step 2: Convert to fraction form
    140,564/302,620 = 302,620/x
  3. Step 3: Cross multiply
    140,564x = 302,620 × 302,620
  4. Step 4: Simplify right side
    140,564x = 91,578,864,400
  5. Step 5: Solve for x
    x = 91,578,864,400/140,564
  6. Step 6: Final answer
    x = 651,510.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.