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Finding the Third Proportional to 211,053 and 301,785

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Solution

The third proportional to 211,053 and 301,785 is: 431,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,053 : 301,785 = 301,785 : x
  2. Step 2: Convert to fraction form
    211,053/301,785 = 301,785/x
  3. Step 3: Cross multiply
    211,053x = 301,785 × 301,785
  4. Step 4: Simplify right side
    211,053x = 91,074,186,225
  5. Step 5: Solve for x
    x = 91,074,186,225/211,053
  6. Step 6: Final answer
    x = 431,522.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.