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Finding the Third Proportional to 148,851 and 212,206.50

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Solution

The third proportional to 148,851 and 212,206.50 is: 302,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,851 : 212,206.50 = 212,206.50 : x
  2. Step 2: Convert to fraction form
    148,851/212,206.50 = 212,206.50/x
  3. Step 3: Cross multiply
    148,851x = 212,206.50 × 212,206.50
  4. Step 4: Simplify right side
    148,851x = 45,031,598,642.25
  5. Step 5: Solve for x
    x = 45,031,598,642.25/148,851
  6. Step 6: Final answer
    x = 302,528.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.