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Finding the Third Proportional to 200,417 and 319,578

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Solution

The third proportional to 200,417 and 319,578 is: 509,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,417 : 319,578 = 319,578 : x
  2. Step 2: Convert to fraction form
    200,417/319,578 = 319,578/x
  3. Step 3: Cross multiply
    200,417x = 319,578 × 319,578
  4. Step 4: Simplify right side
    200,417x = 102,130,098,084
  5. Step 5: Solve for x
    x = 102,130,098,084/200,417
  6. Step 6: Final answer
    x = 509,588.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.