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Finding the Third Proportional to 209,770 and 314,595

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Solution

The third proportional to 209,770 and 314,595 is: 471,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770 : 314,595 = 314,595 : x
  2. Step 2: Convert to fraction form
    209,770/314,595 = 314,595/x
  3. Step 3: Cross multiply
    209,770x = 314,595 × 314,595
  4. Step 4: Simplify right side
    209,770x = 98,970,014,025
  5. Step 5: Solve for x
    x = 98,970,014,025/209,770
  6. Step 6: Final answer
    x = 471,802.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.