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Finding the Third Proportional to 5,021,740 and 6,447,810

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Solution

The third proportional to 5,021,740 and 6,447,810 is: 8,278,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021,740 : 6,447,810 = 6,447,810 : x
  2. Step 2: Convert to fraction form
    5,021,740/6,447,810 = 6,447,810/x
  3. Step 3: Cross multiply
    5,021,740x = 6,447,810 × 6,447,810
  4. Step 4: Simplify right side
    5,021,740x = 41,574,253,796,100
  5. Step 5: Solve for x
    x = 41,574,253,796,100/5,021,740
  6. Step 6: Final answer
    x = 8,278,854.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.