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Finding the Third Proportional to 310,837.50 and 456,057

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Solution

The third proportional to 310,837.50 and 456,057 is: 669,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,837.50 : 456,057 = 456,057 : x
  2. Step 2: Convert to fraction form
    310,837.50/456,057 = 456,057/x
  3. Step 3: Cross multiply
    310,837.50x = 456,057 × 456,057
  4. Step 4: Simplify right side
    310,837.50x = 207,987,987,249
  5. Step 5: Solve for x
    x = 207,987,987,249/310,837.50
  6. Step 6: Final answer
    x = 669,121.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.