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Finding the Third Proportional to 210,128.50 and 322,966.75

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Solution

The third proportional to 210,128.50 and 322,966.75 is: 496,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,128.50 : 322,966.75 = 322,966.75 : x
  2. Step 2: Convert to fraction form
    210,128.50/322,966.75 = 322,966.75/x
  3. Step 3: Cross multiply
    210,128.50x = 322,966.75 × 322,966.75
  4. Step 4: Simplify right side
    210,128.50x = 104,307,521,605.56
  5. Step 5: Solve for x
    x = 104,307,521,605.56/210,128.50
  6. Step 6: Final answer
    x = 496,398.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.