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Finding the Third Proportional to 516,128 and 811,056

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Solution

The third proportional to 516,128 and 811,056 is: 1,274,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,128 : 811,056 = 811,056 : x
  2. Step 2: Convert to fraction form
    516,128/811,056 = 811,056/x
  3. Step 3: Cross multiply
    516,128x = 811,056 × 811,056
  4. Step 4: Simplify right side
    516,128x = 657,811,835,136
  5. Step 5: Solve for x
    x = 657,811,835,136/516,128
  6. Step 6: Final answer
    x = 1,274,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.