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Finding the Third Proportional to 140,510 and 210,768

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Solution

The third proportional to 140,510 and 210,768 is: 316,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510 : 210,768 = 210,768 : x
  2. Step 2: Convert to fraction form
    140,510/210,768 = 210,768/x
  3. Step 3: Cross multiply
    140,510x = 210,768 × 210,768
  4. Step 4: Simplify right side
    140,510x = 44,423,149,824
  5. Step 5: Solve for x
    x = 44,423,149,824/140,510
  6. Step 6: Final answer
    x = 316,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.