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Finding the Third Proportional to 613,420 and 931,166

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Solution

The third proportional to 613,420 and 931,166 is: 1,413,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,420 : 931,166 = 931,166 : x
  2. Step 2: Convert to fraction form
    613,420/931,166 = 931,166/x
  3. Step 3: Cross multiply
    613,420x = 931,166 × 931,166
  4. Step 4: Simplify right side
    613,420x = 867,070,119,556
  5. Step 5: Solve for x
    x = 867,070,119,556/613,420
  6. Step 6: Final answer
    x = 1,413,501.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.