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Finding the Third Proportional to 316,965 and 431,707.50

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Solution

The third proportional to 316,965 and 431,707.50 is: 587,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,965 : 431,707.50 = 431,707.50 : x
  2. Step 2: Convert to fraction form
    316,965/431,707.50 = 431,707.50/x
  3. Step 3: Cross multiply
    316,965x = 431,707.50 × 431,707.50
  4. Step 4: Simplify right side
    316,965x = 186,371,365,556.25
  5. Step 5: Solve for x
    x = 186,371,365,556.25/316,965
  6. Step 6: Final answer
    x = 587,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.