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Finding the Third Proportional to 386,944 and 813,056

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Solution

The third proportional to 386,944 and 813,056 is: 1,708,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,944 : 813,056 = 813,056 : x
  2. Step 2: Convert to fraction form
    386,944/813,056 = 813,056/x
  3. Step 3: Cross multiply
    386,944x = 813,056 × 813,056
  4. Step 4: Simplify right side
    386,944x = 661,060,059,136
  5. Step 5: Solve for x
    x = 661,060,059,136/386,944
  6. Step 6: Final answer
    x = 1,708,412.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.