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Finding the Third Proportional to 442,278 and 662,722.50

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Solution

The third proportional to 442,278 and 662,722.50 is: 993,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,278 : 662,722.50 = 662,722.50 : x
  2. Step 2: Convert to fraction form
    442,278/662,722.50 = 662,722.50/x
  3. Step 3: Cross multiply
    442,278x = 662,722.50 × 662,722.50
  4. Step 4: Simplify right side
    442,278x = 439,201,112,006.25
  5. Step 5: Solve for x
    x = 439,201,112,006.25/442,278
  6. Step 6: Final answer
    x = 993,043.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.