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Finding the Third Proportional to 340,992 and 709,776

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Solution

The third proportional to 340,992 and 709,776 is: 1,477,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,992 : 709,776 = 709,776 : x
  2. Step 2: Convert to fraction form
    340,992/709,776 = 709,776/x
  3. Step 3: Cross multiply
    340,992x = 709,776 × 709,776
  4. Step 4: Simplify right side
    340,992x = 503,781,970,176
  5. Step 5: Solve for x
    x = 503,781,970,176/340,992
  6. Step 6: Final answer
    x = 1,477,401.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.