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Finding the Third Proportional to 268,710.75 and 406,090.13

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Solution

The third proportional to 268,710.75 and 406,090.13 is: 613,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,710.75 : 406,090.13 = 406,090.13 : x
  2. Step 2: Convert to fraction form
    268,710.75/406,090.13 = 406,090.13/x
  3. Step 3: Cross multiply
    268,710.75x = 406,090.13 × 406,090.13
  4. Step 4: Simplify right side
    268,710.75x = 164,909,189,622.52
  5. Step 5: Solve for x
    x = 164,909,189,622.52/268,710.75
  6. Step 6: Final answer
    x = 613,705.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.