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Finding the Third Proportional to 283,040,730 and 426,555,639

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Solution

The third proportional to 283,040,730 and 426,555,639 is: 642,839,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,040,730 : 426,555,639 = 426,555,639 : x
  2. Step 2: Convert to fraction form
    283,040,730/426,555,639 = 426,555,639/x
  3. Step 3: Cross multiply
    283,040,730x = 426,555,639 × 426,555,639
  4. Step 4: Simplify right side
    283,040,730x = 181,949,713,162,698,336
  5. Step 5: Solve for x
    x = 181,949,713,162,698,336/283,040,730
  6. Step 6: Final answer
    x = 642,839,329.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.