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Finding the Third Proportional to 213,192 and 292,896

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Solution

The third proportional to 213,192 and 292,896 is: 402,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,192 : 292,896 = 292,896 : x
  2. Step 2: Convert to fraction form
    213,192/292,896 = 292,896/x
  3. Step 3: Cross multiply
    213,192x = 292,896 × 292,896
  4. Step 4: Simplify right side
    213,192x = 85,788,066,816
  5. Step 5: Solve for x
    x = 85,788,066,816/213,192
  6. Step 6: Final answer
    x = 402,398.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.