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Finding the Third Proportional to 14,209,135 and 31,122,481

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Solution

The third proportional to 14,209,135 and 31,122,481 is: 68,168,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209,135 : 31,122,481 = 31,122,481 : x
  2. Step 2: Convert to fraction form
    14,209,135/31,122,481 = 31,122,481/x
  3. Step 3: Cross multiply
    14,209,135x = 31,122,481 × 31,122,481
  4. Step 4: Simplify right side
    14,209,135x = 968,608,823,595,361
  5. Step 5: Solve for x
    x = 968,608,823,595,361/14,209,135
  6. Step 6: Final answer
    x = 68,168,035.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.