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Finding the Third Proportional to 279,663,772 and 423,381,642

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Solution

The third proportional to 279,663,772 and 423,381,642 is: 640,955,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,663,772 : 423,381,642 = 423,381,642 : x
  2. Step 2: Convert to fraction form
    279,663,772/423,381,642 = 423,381,642/x
  3. Step 3: Cross multiply
    279,663,772x = 423,381,642 × 423,381,642
  4. Step 4: Simplify right side
    279,663,772x = 179,252,014,782,616,160
  5. Step 5: Solve for x
    x = 179,252,014,782,616,160/279,663,772
  6. Step 6: Final answer
    x = 640,955,435.52

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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.