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Finding the Third Proportional to 243,495 and 533,690

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Solution

The third proportional to 243,495 and 533,690 is: 1,169,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,495 : 533,690 = 533,690 : x
  2. Step 2: Convert to fraction form
    243,495/533,690 = 533,690/x
  3. Step 3: Cross multiply
    243,495x = 533,690 × 533,690
  4. Step 4: Simplify right side
    243,495x = 284,825,016,100
  5. Step 5: Solve for x
    x = 284,825,016,100/243,495
  6. Step 6: Final answer
    x = 1,169,736.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.