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Finding the Third Proportional to 409,562 and 611,187

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Solution

The third proportional to 409,562 and 611,187 is: 912,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,562 : 611,187 = 611,187 : x
  2. Step 2: Convert to fraction form
    409,562/611,187 = 611,187/x
  3. Step 3: Cross multiply
    409,562x = 611,187 × 611,187
  4. Step 4: Simplify right side
    409,562x = 373,549,548,969
  5. Step 5: Solve for x
    x = 373,549,548,969/409,562
  6. Step 6: Final answer
    x = 912,070.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.