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Finding the Third Proportional to 147,407 and 346,515

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Solution

The third proportional to 147,407 and 346,515 is: 814,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,407 : 346,515 = 346,515 : x
  2. Step 2: Convert to fraction form
    147,407/346,515 = 346,515/x
  3. Step 3: Cross multiply
    147,407x = 346,515 × 346,515
  4. Step 4: Simplify right side
    147,407x = 120,072,645,225
  5. Step 5: Solve for x
    x = 120,072,645,225/147,407
  6. Step 6: Final answer
    x = 814,565.42

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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.