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Finding the Third Proportional to 292,659,180 and 420,653,904

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Solution

The third proportional to 292,659,180 and 420,653,904 is: 604,627,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,659,180 : 420,653,904 = 420,653,904 : x
  2. Step 2: Convert to fraction form
    292,659,180/420,653,904 = 420,653,904/x
  3. Step 3: Cross multiply
    292,659,180x = 420,653,904 × 420,653,904
  4. Step 4: Simplify right side
    292,659,180x = 176,949,706,950,441,216
  5. Step 5: Solve for x
    x = 176,949,706,950,441,216/292,659,180
  6. Step 6: Final answer
    x = 604,627,221.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.