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Finding the Third Proportional to 893,283 and 1,383,534

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Solution

The third proportional to 893,283 and 1,383,534 is: 2,142,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,283 : 1,383,534 = 1,383,534 : x
  2. Step 2: Convert to fraction form
    893,283/1,383,534 = 1,383,534/x
  3. Step 3: Cross multiply
    893,283x = 1,383,534 × 1,383,534
  4. Step 4: Simplify right side
    893,283x = 1,914,166,329,156
  5. Step 5: Solve for x
    x = 1,914,166,329,156/893,283
  6. Step 6: Final answer
    x = 2,142,844.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.