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Finding the Third Proportional to 316,285.50 and 505,863

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Solution

The third proportional to 316,285.50 and 505,863 is: 809,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,285.50 : 505,863 = 505,863 : x
  2. Step 2: Convert to fraction form
    316,285.50/505,863 = 505,863/x
  3. Step 3: Cross multiply
    316,285.50x = 505,863 × 505,863
  4. Step 4: Simplify right side
    316,285.50x = 255,897,374,769
  5. Step 5: Solve for x
    x = 255,897,374,769/316,285.50
  6. Step 6: Final answer
    x = 809,070.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.