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Finding the Third Proportional to 678,491,730 and 1,477,127,390

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Solution

The third proportional to 678,491,730 and 1,477,127,390 is: 3,215,817,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,491,730 : 1,477,127,390 = 1,477,127,390 : x
  2. Step 2: Convert to fraction form
    678,491,730/1,477,127,390 = 1,477,127,390/x
  3. Step 3: Cross multiply
    678,491,730x = 1,477,127,390 × 1,477,127,390
  4. Step 4: Simplify right side
    678,491,730x = 2,181,905,326,288,212,224
  5. Step 5: Solve for x
    x = 2,181,905,326,288,212,224/678,491,730
  6. Step 6: Final answer
    x = 3,215,817,127.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.