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Finding the Third Proportional to 145,914 and 319,507

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Solution

The third proportional to 145,914 and 319,507 is: 699,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,914 : 319,507 = 319,507 : x
  2. Step 2: Convert to fraction form
    145,914/319,507 = 319,507/x
  3. Step 3: Cross multiply
    145,914x = 319,507 × 319,507
  4. Step 4: Simplify right side
    145,914x = 102,084,723,049
  5. Step 5: Solve for x
    x = 102,084,723,049/145,914
  6. Step 6: Final answer
    x = 699,622.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.