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Finding the Third Proportional to 309,752 and 455,556

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Solution

The third proportional to 309,752 and 455,556 is: 669,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,752 : 455,556 = 455,556 : x
  2. Step 2: Convert to fraction form
    309,752/455,556 = 455,556/x
  3. Step 3: Cross multiply
    309,752x = 455,556 × 455,556
  4. Step 4: Simplify right side
    309,752x = 207,531,269,136
  5. Step 5: Solve for x
    x = 207,531,269,136/309,752
  6. Step 6: Final answer
    x = 669,991.70

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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.