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Finding the Third Proportional to 136,455 and 210,514.50

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Solution

The third proportional to 136,455 and 210,514.50 is: 324,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,455 : 210,514.50 = 210,514.50 : x
  2. Step 2: Convert to fraction form
    136,455/210,514.50 = 210,514.50/x
  3. Step 3: Cross multiply
    136,455x = 210,514.50 × 210,514.50
  4. Step 4: Simplify right side
    136,455x = 44,316,354,710.25
  5. Step 5: Solve for x
    x = 44,316,354,710.25/136,455
  6. Step 6: Final answer
    x = 324,769.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.