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Finding the Third Proportional to 147,420 and 346,248

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Solution

The third proportional to 147,420 and 346,248 is: 813,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,420 : 346,248 = 346,248 : x
  2. Step 2: Convert to fraction form
    147,420/346,248 = 346,248/x
  3. Step 3: Cross multiply
    147,420x = 346,248 × 346,248
  4. Step 4: Simplify right side
    147,420x = 119,887,677,504
  5. Step 5: Solve for x
    x = 119,887,677,504/147,420
  6. Step 6: Final answer
    x = 813,238.89

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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.