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Finding the Third Proportional to 355,386 and 508,203

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Solution

The third proportional to 355,386 and 508,203 is: 726,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,386 : 508,203 = 508,203 : x
  2. Step 2: Convert to fraction form
    355,386/508,203 = 508,203/x
  3. Step 3: Cross multiply
    355,386x = 508,203 × 508,203
  4. Step 4: Simplify right side
    355,386x = 258,270,289,209
  5. Step 5: Solve for x
    x = 258,270,289,209/355,386
  6. Step 6: Final answer
    x = 726,731.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.