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Finding the Third Proportional to 398,369 and 609,669

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Solution

The third proportional to 398,369 and 609,669 is: 933,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,369 : 609,669 = 609,669 : x
  2. Step 2: Convert to fraction form
    398,369/609,669 = 609,669/x
  3. Step 3: Cross multiply
    398,369x = 609,669 × 609,669
  4. Step 4: Simplify right side
    398,369x = 371,696,289,561
  5. Step 5: Solve for x
    x = 371,696,289,561/398,369
  6. Step 6: Final answer
    x = 933,045.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.