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Finding the Third Proportional to 893,746 and 2,108,013

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Solution

The third proportional to 893,746 and 2,108,013 is: 4,972,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,746 : 2,108,013 = 2,108,013 : x
  2. Step 2: Convert to fraction form
    893,746/2,108,013 = 2,108,013/x
  3. Step 3: Cross multiply
    893,746x = 2,108,013 × 2,108,013
  4. Step 4: Simplify right side
    893,746x = 4,443,718,808,169
  5. Step 5: Solve for x
    x = 4,443,718,808,169/893,746
  6. Step 6: Final answer
    x = 4,972,015.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.