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Finding the Third Proportional to 233,953.50 and 478,990.50

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Solution

The third proportional to 233,953.50 and 478,990.50 is: 980,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,953.50 : 478,990.50 = 478,990.50 : x
  2. Step 2: Convert to fraction form
    233,953.50/478,990.50 = 478,990.50/x
  3. Step 3: Cross multiply
    233,953.50x = 478,990.50 × 478,990.50
  4. Step 4: Simplify right side
    233,953.50x = 229,431,899,090.25
  5. Step 5: Solve for x
    x = 229,431,899,090.25/233,953.50
  6. Step 6: Final answer
    x = 980,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.