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Finding the Third Proportional to 340,103 and 508,376

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Solution

The third proportional to 340,103 and 508,376 is: 759,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,103 : 508,376 = 508,376 : x
  2. Step 2: Convert to fraction form
    340,103/508,376 = 508,376/x
  3. Step 3: Cross multiply
    340,103x = 508,376 × 508,376
  4. Step 4: Simplify right side
    340,103x = 258,446,157,376
  5. Step 5: Solve for x
    x = 258,446,157,376/340,103
  6. Step 6: Final answer
    x = 759,905.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.