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Finding the Third Proportional to 132,053 and 284,640

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Solution

The third proportional to 132,053 and 284,640 is: 613,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,053 : 284,640 = 284,640 : x
  2. Step 2: Convert to fraction form
    132,053/284,640 = 284,640/x
  3. Step 3: Cross multiply
    132,053x = 284,640 × 284,640
  4. Step 4: Simplify right side
    132,053x = 81,019,929,600
  5. Step 5: Solve for x
    x = 81,019,929,600/132,053
  6. Step 6: Final answer
    x = 613,541.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.