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Finding the Third Proportional to 210,672 and 322,272

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Solution

The third proportional to 210,672 and 322,272 is: 492,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,672 : 322,272 = 322,272 : x
  2. Step 2: Convert to fraction form
    210,672/322,272 = 322,272/x
  3. Step 3: Cross multiply
    210,672x = 322,272 × 322,272
  4. Step 4: Simplify right side
    210,672x = 103,859,241,984
  5. Step 5: Solve for x
    x = 103,859,241,984/210,672
  6. Step 6: Final answer
    x = 492,990.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.