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Finding the Third Proportional to 281,382 and 616,128

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Solution

The third proportional to 281,382 and 616,128 is: 1,349,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,382 : 616,128 = 616,128 : x
  2. Step 2: Convert to fraction form
    281,382/616,128 = 616,128/x
  3. Step 3: Cross multiply
    281,382x = 616,128 × 616,128
  4. Step 4: Simplify right side
    281,382x = 379,613,712,384
  5. Step 5: Solve for x
    x = 379,613,712,384/281,382
  6. Step 6: Final answer
    x = 1,349,104.46

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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.