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Finding the Third Proportional to 216,178 and 343,513

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Solution

The third proportional to 216,178 and 343,513 is: 545,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178 : 343,513 = 343,513 : x
  2. Step 2: Convert to fraction form
    216,178/343,513 = 343,513/x
  3. Step 3: Cross multiply
    216,178x = 343,513 × 343,513
  4. Step 4: Simplify right side
    216,178x = 118,001,181,169
  5. Step 5: Solve for x
    x = 118,001,181,169/216,178
  6. Step 6: Final answer
    x = 545,851.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.