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Finding the Third Proportional to 134,724 and 210,726

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Solution

The third proportional to 134,724 and 210,726 is: 329,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,724 : 210,726 = 210,726 : x
  2. Step 2: Convert to fraction form
    134,724/210,726 = 210,726/x
  3. Step 3: Cross multiply
    134,724x = 210,726 × 210,726
  4. Step 4: Simplify right side
    134,724x = 44,405,447,076
  5. Step 5: Solve for x
    x = 44,405,447,076/134,724
  6. Step 6: Final answer
    x = 329,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.