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Finding the Third Proportional to 230,998 and 345,553

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Solution

The third proportional to 230,998 and 345,553 is: 516,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,998 : 345,553 = 345,553 : x
  2. Step 2: Convert to fraction form
    230,998/345,553 = 345,553/x
  3. Step 3: Cross multiply
    230,998x = 345,553 × 345,553
  4. Step 4: Simplify right side
    230,998x = 119,406,875,809
  5. Step 5: Solve for x
    x = 119,406,875,809/230,998
  6. Step 6: Final answer
    x = 516,917.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.