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Finding the Third Proportional to 216,155 and 345,313

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Solution

The third proportional to 216,155 and 345,313 is: 551,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,155 : 345,313 = 345,313 : x
  2. Step 2: Convert to fraction form
    216,155/345,313 = 345,313/x
  3. Step 3: Cross multiply
    216,155x = 345,313 × 345,313
  4. Step 4: Simplify right side
    216,155x = 119,241,067,969
  5. Step 5: Solve for x
    x = 119,241,067,969/216,155
  6. Step 6: Final answer
    x = 551,646.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.