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Finding the Third Proportional to 264,645 and 409,887

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Solution

The third proportional to 264,645 and 409,887 is: 634,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,645 : 409,887 = 409,887 : x
  2. Step 2: Convert to fraction form
    264,645/409,887 = 409,887/x
  3. Step 3: Cross multiply
    264,645x = 409,887 × 409,887
  4. Step 4: Simplify right side
    264,645x = 168,007,352,769
  5. Step 5: Solve for x
    x = 168,007,352,769/264,645
  6. Step 6: Final answer
    x = 634,840.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.