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Finding the Third Proportional to 223,426 and 486,998

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Solution

The third proportional to 223,426 and 486,998 is: 1,061,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,426 : 486,998 = 486,998 : x
  2. Step 2: Convert to fraction form
    223,426/486,998 = 486,998/x
  3. Step 3: Cross multiply
    223,426x = 486,998 × 486,998
  4. Step 4: Simplify right side
    223,426x = 237,167,052,004
  5. Step 5: Solve for x
    x = 237,167,052,004/223,426
  6. Step 6: Final answer
    x = 1,061,501.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.