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Finding the Third Proportional to 419,447,990 and 651,255,825

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Solution

The third proportional to 419,447,990 and 651,255,825 is: 1,011,172,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,447,990 : 651,255,825 = 651,255,825 : x
  2. Step 2: Convert to fraction form
    419,447,990/651,255,825 = 651,255,825/x
  3. Step 3: Cross multiply
    419,447,990x = 651,255,825 × 651,255,825
  4. Step 4: Simplify right side
    419,447,990x = 424,134,149,596,430,656
  5. Step 5: Solve for x
    x = 424,134,149,596,430,656/419,447,990
  6. Step 6: Final answer
    x = 1,011,172,206.59

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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.