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Finding the Third Proportional to 403,770 and 874,424

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Solution

The third proportional to 403,770 and 874,424 is: 1,893,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,770 : 874,424 = 874,424 : x
  2. Step 2: Convert to fraction form
    403,770/874,424 = 874,424/x
  3. Step 3: Cross multiply
    403,770x = 874,424 × 874,424
  4. Step 4: Simplify right side
    403,770x = 764,617,331,776
  5. Step 5: Solve for x
    x = 764,617,331,776/403,770
  6. Step 6: Final answer
    x = 1,893,695.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.