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Finding the Third Proportional to 916,280 and 1,398,108

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Solution

The third proportional to 916,280 and 1,398,108 is: 2,133,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,280 : 1,398,108 = 1,398,108 : x
  2. Step 2: Convert to fraction form
    916,280/1,398,108 = 1,398,108/x
  3. Step 3: Cross multiply
    916,280x = 1,398,108 × 1,398,108
  4. Step 4: Simplify right side
    916,280x = 1,954,705,979,664
  5. Step 5: Solve for x
    x = 1,954,705,979,664/916,280
  6. Step 6: Final answer
    x = 2,133,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.