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Finding the Third Proportional to 639,896,328 and 1,370,491,798.50

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Solution

The third proportional to 639,896,328 and 1,370,491,798.50 is: 2,935,237,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,896,328 : 1,370,491,798.50 = 1,370,491,798.50 : x
  2. Step 2: Convert to fraction form
    639,896,328/1,370,491,798.50 = 1,370,491,798.50/x
  3. Step 3: Cross multiply
    639,896,328x = 1,370,491,798.50 × 1,370,491,798.50
  4. Step 4: Simplify right side
    639,896,328x = 1,878,247,769,755,764,480
  5. Step 5: Solve for x
    x = 1,878,247,769,755,764,480/639,896,328
  6. Step 6: Final answer
    x = 2,935,237,612.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.