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Finding the Third Proportional to 118,333 and 257,402

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Solution

The third proportional to 118,333 and 257,402 is: 559,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,333 : 257,402 = 257,402 : x
  2. Step 2: Convert to fraction form
    118,333/257,402 = 257,402/x
  3. Step 3: Cross multiply
    118,333x = 257,402 × 257,402
  4. Step 4: Simplify right side
    118,333x = 66,255,789,604
  5. Step 5: Solve for x
    x = 66,255,789,604/118,333
  6. Step 6: Final answer
    x = 559,909.66

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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.