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Finding the Third Proportional to 611,356 and 1,347,128

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Solution

The third proportional to 611,356 and 1,347,128 is: 2,968,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,356 : 1,347,128 = 1,347,128 : x
  2. Step 2: Convert to fraction form
    611,356/1,347,128 = 1,347,128/x
  3. Step 3: Cross multiply
    611,356x = 1,347,128 × 1,347,128
  4. Step 4: Simplify right side
    611,356x = 1,814,753,848,384
  5. Step 5: Solve for x
    x = 1,814,753,848,384/611,356
  6. Step 6: Final answer
    x = 2,968,407.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.