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Finding the Third Proportional to 5,419,309 and 12,645,480

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Solution

The third proportional to 5,419,309 and 12,645,480 is: 29,507,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419,309 : 12,645,480 = 12,645,480 : x
  2. Step 2: Convert to fraction form
    5,419,309/12,645,480 = 12,645,480/x
  3. Step 3: Cross multiply
    5,419,309x = 12,645,480 × 12,645,480
  4. Step 4: Simplify right side
    5,419,309x = 159,908,164,430,400
  5. Step 5: Solve for x
    x = 159,908,164,430,400/5,419,309
  6. Step 6: Final answer
    x = 29,507,113.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.