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Finding the Third Proportional to 145,110 and 212,697

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Solution

The third proportional to 145,110 and 212,697 is: 311,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,110 : 212,697 = 212,697 : x
  2. Step 2: Convert to fraction form
    145,110/212,697 = 212,697/x
  3. Step 3: Cross multiply
    145,110x = 212,697 × 212,697
  4. Step 4: Simplify right side
    145,110x = 45,240,013,809
  5. Step 5: Solve for x
    x = 45,240,013,809/145,110
  6. Step 6: Final answer
    x = 311,763.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.