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Finding the Third Proportional to 564,815 and 790,009

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Solution

The third proportional to 564,815 and 790,009 is: 1,104,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,815 : 790,009 = 790,009 : x
  2. Step 2: Convert to fraction form
    564,815/790,009 = 790,009/x
  3. Step 3: Cross multiply
    564,815x = 790,009 × 790,009
  4. Step 4: Simplify right side
    564,815x = 624,114,220,081
  5. Step 5: Solve for x
    x = 624,114,220,081/564,815
  6. Step 6: Final answer
    x = 1,104,988.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.