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Finding the Third Proportional to 434,184 and 655,813

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Solution

The third proportional to 434,184 and 655,813 is: 990,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,184 : 655,813 = 655,813 : x
  2. Step 2: Convert to fraction form
    434,184/655,813 = 655,813/x
  3. Step 3: Cross multiply
    434,184x = 655,813 × 655,813
  4. Step 4: Simplify right side
    434,184x = 430,090,690,969
  5. Step 5: Solve for x
    x = 430,090,690,969/434,184
  6. Step 6: Final answer
    x = 990,572.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.