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Finding the Third Proportional to 13,131,574 and 20,977,970

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Solution

The third proportional to 13,131,574 and 20,977,970 is: 33,512,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131,574 : 20,977,970 = 20,977,970 : x
  2. Step 2: Convert to fraction form
    13,131,574/20,977,970 = 20,977,970/x
  3. Step 3: Cross multiply
    13,131,574x = 20,977,970 × 20,977,970
  4. Step 4: Simplify right side
    13,131,574x = 440,075,225,320,900
  5. Step 5: Solve for x
    x = 440,075,225,320,900/13,131,574
  6. Step 6: Final answer
    x = 33,512,755.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.