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Finding the Third Proportional to 558,154 and 891,088

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Solution

The third proportional to 558,154 and 891,088 is: 1,422,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,154 : 891,088 = 891,088 : x
  2. Step 2: Convert to fraction form
    558,154/891,088 = 891,088/x
  3. Step 3: Cross multiply
    558,154x = 891,088 × 891,088
  4. Step 4: Simplify right side
    558,154x = 794,037,823,744
  5. Step 5: Solve for x
    x = 794,037,823,744/558,154
  6. Step 6: Final answer
    x = 1,422,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.