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Finding the Third Proportional to 210,417 and 304,569

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Solution

The third proportional to 210,417 and 304,569 is: 440,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,417 : 304,569 = 304,569 : x
  2. Step 2: Convert to fraction form
    210,417/304,569 = 304,569/x
  3. Step 3: Cross multiply
    210,417x = 304,569 × 304,569
  4. Step 4: Simplify right side
    210,417x = 92,762,275,761
  5. Step 5: Solve for x
    x = 92,762,275,761/210,417
  6. Step 6: Final answer
    x = 440,849.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.