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Finding the Third Proportional to 216,174 and 307,943

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Solution

The third proportional to 216,174 and 307,943 is: 438,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,174 : 307,943 = 307,943 : x
  2. Step 2: Convert to fraction form
    216,174/307,943 = 307,943/x
  3. Step 3: Cross multiply
    216,174x = 307,943 × 307,943
  4. Step 4: Simplify right side
    216,174x = 94,828,891,249
  5. Step 5: Solve for x
    x = 94,828,891,249/216,174
  6. Step 6: Final answer
    x = 438,669.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.