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Finding the Third Proportional to 210,147.75 and 456,015.75

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Solution

The third proportional to 210,147.75 and 456,015.75 is: 989,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.75 : 456,015.75 = 456,015.75 : x
  2. Step 2: Convert to fraction form
    210,147.75/456,015.75 = 456,015.75/x
  3. Step 3: Cross multiply
    210,147.75x = 456,015.75 × 456,015.75
  4. Step 4: Simplify right side
    210,147.75x = 207,950,364,248.06
  5. Step 5: Solve for x
    x = 207,950,364,248.06/210,147.75
  6. Step 6: Final answer
    x = 989,543.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.