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Finding the Third Proportional to 515,431 and 1,066,218.50

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Solution

The third proportional to 515,431 and 1,066,218.50 is: 2,205,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,431 : 1,066,218.50 = 1,066,218.50 : x
  2. Step 2: Convert to fraction form
    515,431/1,066,218.50 = 1,066,218.50/x
  3. Step 3: Cross multiply
    515,431x = 1,066,218.50 × 1,066,218.50
  4. Step 4: Simplify right side
    515,431x = 1,136,821,889,742.25
  5. Step 5: Solve for x
    x = 1,136,821,889,742.25/515,431
  6. Step 6: Final answer
    x = 2,205,575.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.