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Finding the Third Proportional to 100,476 and 147,690

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Solution

The third proportional to 100,476 and 147,690 is: 217,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,476 : 147,690 = 147,690 : x
  2. Step 2: Convert to fraction form
    100,476/147,690 = 147,690/x
  3. Step 3: Cross multiply
    100,476x = 147,690 × 147,690
  4. Step 4: Simplify right side
    100,476x = 21,812,336,100
  5. Step 5: Solve for x
    x = 21,812,336,100/100,476
  6. Step 6: Final answer
    x = 217,090.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.