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Finding the Third Proportional to 223,272 and 318,303

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Solution

The third proportional to 223,272 and 318,303 is: 453,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,272 : 318,303 = 318,303 : x
  2. Step 2: Convert to fraction form
    223,272/318,303 = 318,303/x
  3. Step 3: Cross multiply
    223,272x = 318,303 × 318,303
  4. Step 4: Simplify right side
    223,272x = 101,316,799,809
  5. Step 5: Solve for x
    x = 101,316,799,809/223,272
  6. Step 6: Final answer
    x = 453,781.93

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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.