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Finding the Third Proportional to 345,912 and 745,184

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Solution

The third proportional to 345,912 and 745,184 is: 1,605,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,912 : 745,184 = 745,184 : x
  2. Step 2: Convert to fraction form
    345,912/745,184 = 745,184/x
  3. Step 3: Cross multiply
    345,912x = 745,184 × 745,184
  4. Step 4: Simplify right side
    345,912x = 555,299,193,856
  5. Step 5: Solve for x
    x = 555,299,193,856/345,912
  6. Step 6: Final answer
    x = 1,605,319.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.