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Finding the Third Proportional to 144,135 and 210,648

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Solution

The third proportional to 144,135 and 210,648 is: 307,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,135 : 210,648 = 210,648 : x
  2. Step 2: Convert to fraction form
    144,135/210,648 = 210,648/x
  3. Step 3: Cross multiply
    144,135x = 210,648 × 210,648
  4. Step 4: Simplify right side
    144,135x = 44,372,579,904
  5. Step 5: Solve for x
    x = 44,372,579,904/144,135
  6. Step 6: Final answer
    x = 307,854.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.