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Finding the Third Proportional to 200,528 and 417,641

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Solution

The third proportional to 200,528 and 417,641 is: 869,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,528 : 417,641 = 417,641 : x
  2. Step 2: Convert to fraction form
    200,528/417,641 = 417,641/x
  3. Step 3: Cross multiply
    200,528x = 417,641 × 417,641
  4. Step 4: Simplify right side
    200,528x = 174,424,004,881
  5. Step 5: Solve for x
    x = 174,424,004,881/200,528
  6. Step 6: Final answer
    x = 869,823.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.