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Finding the Third Proportional to 340,628 and 515,654

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Solution

The third proportional to 340,628 and 515,654 is: 780,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,628 : 515,654 = 515,654 : x
  2. Step 2: Convert to fraction form
    340,628/515,654 = 515,654/x
  3. Step 3: Cross multiply
    340,628x = 515,654 × 515,654
  4. Step 4: Simplify right side
    340,628x = 265,899,047,716
  5. Step 5: Solve for x
    x = 265,899,047,716/340,628
  6. Step 6: Final answer
    x = 780,614.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.