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Finding the Third Proportional to 210,984 and 301,491

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Solution

The third proportional to 210,984 and 301,491 is: 430,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,984 : 301,491 = 301,491 : x
  2. Step 2: Convert to fraction form
    210,984/301,491 = 301,491/x
  3. Step 3: Cross multiply
    210,984x = 301,491 × 301,491
  4. Step 4: Simplify right side
    210,984x = 90,896,823,081
  5. Step 5: Solve for x
    x = 90,896,823,081/210,984
  6. Step 6: Final answer
    x = 430,823.30

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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.