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Finding the Third Proportional to 419,447,984 and 651,255,816

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Solution

The third proportional to 419,447,984 and 651,255,816 is: 1,011,172,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,447,984 : 651,255,816 = 651,255,816 : x
  2. Step 2: Convert to fraction form
    419,447,984/651,255,816 = 651,255,816/x
  3. Step 3: Cross multiply
    419,447,984x = 651,255,816 × 651,255,816
  4. Step 4: Simplify right side
    419,447,984x = 424,134,137,873,825,856
  5. Step 5: Solve for x
    x = 424,134,137,873,825,856/419,447,984
  6. Step 6: Final answer
    x = 1,011,172,193.10

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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.