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Finding the Third Proportional to 310,556 and 455,992

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Solution

The third proportional to 310,556 and 455,992 is: 669,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556 : 455,992 = 455,992 : x
  2. Step 2: Convert to fraction form
    310,556/455,992 = 455,992/x
  3. Step 3: Cross multiply
    310,556x = 455,992 × 455,992
  4. Step 4: Simplify right side
    310,556x = 207,928,704,064
  5. Step 5: Solve for x
    x = 207,928,704,064/310,556
  6. Step 6: Final answer
    x = 669,536.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.