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Finding the Third Proportional to 475,809.19 and 728,783.58

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Solution

The third proportional to 475,809.19 and 728,783.58 is: 1,116,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,809.19 : 728,783.58 = 728,783.58 : x
  2. Step 2: Convert to fraction form
    475,809.19/728,783.58 = 728,783.58/x
  3. Step 3: Cross multiply
    475,809.19x = 728,783.58 × 728,783.58
  4. Step 4: Simplify right side
    475,809.19x = 531,125,503,744.68
  5. Step 5: Solve for x
    x = 531,125,503,744.68/475,809.19
  6. Step 6: Final answer
    x = 1,116,257.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.