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Finding the Third Proportional to 13,223,601 and 20,433,813.75

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Solution

The third proportional to 13,223,601 and 20,433,813.75 is: 31,575,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,601 : 20,433,813.75 = 20,433,813.75 : x
  2. Step 2: Convert to fraction form
    13,223,601/20,433,813.75 = 20,433,813.75/x
  3. Step 3: Cross multiply
    13,223,601x = 20,433,813.75 × 20,433,813.75
  4. Step 4: Simplify right side
    13,223,601x = 417,540,744,369,689.06
  5. Step 5: Solve for x
    x = 417,540,744,369,689.06/13,223,601
  6. Step 6: Final answer
    x = 31,575,419.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.