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Finding the Third Proportional to 117,108 and 256,428

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Solution

The third proportional to 117,108 and 256,428 is: 561,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,108 : 256,428 = 256,428 : x
  2. Step 2: Convert to fraction form
    117,108/256,428 = 256,428/x
  3. Step 3: Cross multiply
    117,108x = 256,428 × 256,428
  4. Step 4: Simplify right side
    117,108x = 65,755,319,184
  5. Step 5: Solve for x
    x = 65,755,319,184/117,108
  6. Step 6: Final answer
    x = 561,492.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.