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Finding the Third Proportional to 320,022 and 515,502

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Solution

The third proportional to 320,022 and 515,502 is: 830,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,022 : 515,502 = 515,502 : x
  2. Step 2: Convert to fraction form
    320,022/515,502 = 515,502/x
  3. Step 3: Cross multiply
    320,022x = 515,502 × 515,502
  4. Step 4: Simplify right side
    320,022x = 265,742,312,004
  5. Step 5: Solve for x
    x = 265,742,312,004/320,022
  6. Step 6: Final answer
    x = 830,387.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.