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Finding the Third Proportional to 150,255 and 210,073.50

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Solution

The third proportional to 150,255 and 210,073.50 is: 293,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,255 : 210,073.50 = 210,073.50 : x
  2. Step 2: Convert to fraction form
    150,255/210,073.50 = 210,073.50/x
  3. Step 3: Cross multiply
    150,255x = 210,073.50 × 210,073.50
  4. Step 4: Simplify right side
    150,255x = 44,130,875,402.25
  5. Step 5: Solve for x
    x = 44,130,875,402.25/150,255
  6. Step 6: Final answer
    x = 293,706.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.