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Finding the Third Proportional to 218,702 and 357,118

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Solution

The third proportional to 218,702 and 357,118 is: 583,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,702 : 357,118 = 357,118 : x
  2. Step 2: Convert to fraction form
    218,702/357,118 = 357,118/x
  3. Step 3: Cross multiply
    218,702x = 357,118 × 357,118
  4. Step 4: Simplify right side
    218,702x = 127,533,265,924
  5. Step 5: Solve for x
    x = 127,533,265,924/218,702
  6. Step 6: Final answer
    x = 583,137.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.