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Finding the Third Proportional to 340,109 and 508,387

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Solution

The third proportional to 340,109 and 508,387 is: 759,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,109 : 508,387 = 508,387 : x
  2. Step 2: Convert to fraction form
    340,109/508,387 = 508,387/x
  3. Step 3: Cross multiply
    340,109x = 508,387 × 508,387
  4. Step 4: Simplify right side
    340,109x = 258,457,341,769
  5. Step 5: Solve for x
    x = 258,457,341,769/340,109
  6. Step 6: Final answer
    x = 759,925.03

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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.