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Finding the Third Proportional to 611,558 and 899,363

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Solution

The third proportional to 611,558 and 899,363 is: 1,322,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,558 : 899,363 = 899,363 : x
  2. Step 2: Convert to fraction form
    611,558/899,363 = 899,363/x
  3. Step 3: Cross multiply
    611,558x = 899,363 × 899,363
  4. Step 4: Simplify right side
    611,558x = 808,853,805,769
  5. Step 5: Solve for x
    x = 808,853,805,769/611,558
  6. Step 6: Final answer
    x = 1,322,611.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.