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Finding the Third Proportional to 142,658 and 221,779

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Solution

The third proportional to 142,658 and 221,779 is: 344,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658 : 221,779 = 221,779 : x
  2. Step 2: Convert to fraction form
    142,658/221,779 = 221,779/x
  3. Step 3: Cross multiply
    142,658x = 221,779 × 221,779
  4. Step 4: Simplify right side
    142,658x = 49,185,924,841
  5. Step 5: Solve for x
    x = 49,185,924,841/142,658
  6. Step 6: Final answer
    x = 344,782.10

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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.