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Finding the Third Proportional to 448,776 and 968,895

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Solution

The third proportional to 448,776 and 968,895 is: 2,091,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,776 : 968,895 = 968,895 : x
  2. Step 2: Convert to fraction form
    448,776/968,895 = 968,895/x
  3. Step 3: Cross multiply
    448,776x = 968,895 × 968,895
  4. Step 4: Simplify right side
    448,776x = 938,757,521,025
  5. Step 5: Solve for x
    x = 938,757,521,025/448,776
  6. Step 6: Final answer
    x = 2,091,817.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.