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Finding the Third Proportional to 279,680,078 and 423,402,285

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Solution

The third proportional to 279,680,078 and 423,402,285 is: 640,980,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,680,078 : 423,402,285 = 423,402,285 : x
  2. Step 2: Convert to fraction form
    279,680,078/423,402,285 = 423,402,285/x
  3. Step 3: Cross multiply
    279,680,078x = 423,402,285 × 423,402,285
  4. Step 4: Simplify right side
    279,680,078x = 179,269,494,943,221,216
  5. Step 5: Solve for x
    x = 179,269,494,943,221,216/279,680,078
  6. Step 6: Final answer
    x = 640,980,566.89

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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.