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Finding the Third Proportional to 212,955.75 and 455,459.25

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Solution

The third proportional to 212,955.75 and 455,459.25 is: 974,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,955.75 : 455,459.25 = 455,459.25 : x
  2. Step 2: Convert to fraction form
    212,955.75/455,459.25 = 455,459.25/x
  3. Step 3: Cross multiply
    212,955.75x = 455,459.25 × 455,459.25
  4. Step 4: Simplify right side
    212,955.75x = 207,443,128,410.56
  5. Step 5: Solve for x
    x = 207,443,128,410.56/212,955.75
  6. Step 6: Final answer
    x = 974,113.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.