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Finding the Third Proportional to 100,473 and 140,476

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Solution

The third proportional to 100,473 and 140,476 is: 196,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,473 : 140,476 = 140,476 : x
  2. Step 2: Convert to fraction form
    100,473/140,476 = 140,476/x
  3. Step 3: Cross multiply
    100,473x = 140,476 × 140,476
  4. Step 4: Simplify right side
    100,473x = 19,733,506,576
  5. Step 5: Solve for x
    x = 19,733,506,576/100,473
  6. Step 6: Final answer
    x = 196,406.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.