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Finding the Third Proportional to 612,072 and 918,109.13

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Solution

The third proportional to 612,072 and 918,109.13 is: 1,377,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,072 : 918,109.13 = 918,109.13 : x
  2. Step 2: Convert to fraction form
    612,072/918,109.13 = 918,109.13/x
  3. Step 3: Cross multiply
    612,072x = 918,109.13 × 918,109.13
  4. Step 4: Simplify right side
    612,072x = 842,924,365,408.27
  5. Step 5: Solve for x
    x = 842,924,365,408.27/612,072
  6. Step 6: Final answer
    x = 1,377,165.38

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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.