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Finding the Third Proportional to 200,428 and 322,363

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Solution

The third proportional to 200,428 and 322,363 is: 518,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,428 : 322,363 = 322,363 : x
  2. Step 2: Convert to fraction form
    200,428/322,363 = 322,363/x
  3. Step 3: Cross multiply
    200,428x = 322,363 × 322,363
  4. Step 4: Simplify right side
    200,428x = 103,917,903,769
  5. Step 5: Solve for x
    x = 103,917,903,769/200,428
  6. Step 6: Final answer
    x = 518,479.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.