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Finding the Third Proportional to 13,106,580 and 20,515,230

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Solution

The third proportional to 13,106,580 and 20,515,230 is: 32,111,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106,580 : 20,515,230 = 20,515,230 : x
  2. Step 2: Convert to fraction form
    13,106,580/20,515,230 = 20,515,230/x
  3. Step 3: Cross multiply
    13,106,580x = 20,515,230 × 20,515,230
  4. Step 4: Simplify right side
    13,106,580x = 420,874,661,952,900
  5. Step 5: Solve for x
    x = 420,874,661,952,900/13,106,580
  6. Step 6: Final answer
    x = 32,111,707.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.