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Finding the Third Proportional to 145,614 and 319,779

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Solution

The third proportional to 145,614 and 319,779 is: 702,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614 : 319,779 = 319,779 : x
  2. Step 2: Convert to fraction form
    145,614/319,779 = 319,779/x
  3. Step 3: Cross multiply
    145,614x = 319,779 × 319,779
  4. Step 4: Simplify right side
    145,614x = 102,258,608,841
  5. Step 5: Solve for x
    x = 102,258,608,841/145,614
  6. Step 6: Final answer
    x = 702,258.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.