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Finding the Third Proportional to 147,399 and 346,489.50

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Solution

The third proportional to 147,399 and 346,489.50 is: 814,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,399 : 346,489.50 = 346,489.50 : x
  2. Step 2: Convert to fraction form
    147,399/346,489.50 = 346,489.50/x
  3. Step 3: Cross multiply
    147,399x = 346,489.50 × 346,489.50
  4. Step 4: Simplify right side
    147,399x = 120,054,973,610.25
  5. Step 5: Solve for x
    x = 120,054,973,610.25/147,399
  6. Step 6: Final answer
    x = 814,489.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.