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Finding the Third Proportional to 218,484 and 299,010

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Solution

The third proportional to 218,484 and 299,010 is: 409,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,484 : 299,010 = 299,010 : x
  2. Step 2: Convert to fraction form
    218,484/299,010 = 299,010/x
  3. Step 3: Cross multiply
    218,484x = 299,010 × 299,010
  4. Step 4: Simplify right side
    218,484x = 89,406,980,100
  5. Step 5: Solve for x
    x = 89,406,980,100/218,484
  6. Step 6: Final answer
    x = 409,215.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.