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Finding the Third Proportional to 15,580 and 31,640

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Solution

The third proportional to 15,580 and 31,640 is: 64,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 31,640 = 31,640 : x
  2. Step 2: Convert to fraction form
    15,580/31,640 = 31,640/x
  3. Step 3: Cross multiply
    15,580x = 31,640 × 31,640
  4. Step 4: Simplify right side
    15,580x = 1,001,089,600
  5. Step 5: Solve for x
    x = 1,001,089,600/15,580
  6. Step 6: Final answer
    x = 64,254.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.