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Finding the Third Proportional to 319,088 and 691,008

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Solution

The third proportional to 319,088 and 691,008 is: 1,496,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,088 : 691,008 = 691,008 : x
  2. Step 2: Convert to fraction form
    319,088/691,008 = 691,008/x
  3. Step 3: Cross multiply
    319,088x = 691,008 × 691,008
  4. Step 4: Simplify right side
    319,088x = 477,492,056,064
  5. Step 5: Solve for x
    x = 477,492,056,064/319,088
  6. Step 6: Final answer
    x = 1,496,427.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.