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Finding the Third Proportional to 136,970 and 277,706

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Solution

The third proportional to 136,970 and 277,706 is: 563,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970 : 277,706 = 277,706 : x
  2. Step 2: Convert to fraction form
    136,970/277,706 = 277,706/x
  3. Step 3: Cross multiply
    136,970x = 277,706 × 277,706
  4. Step 4: Simplify right side
    136,970x = 77,120,622,436
  5. Step 5: Solve for x
    x = 77,120,622,436/136,970
  6. Step 6: Final answer
    x = 563,047.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.