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Finding the Third Proportional to 145,492 and 218,779

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Solution

The third proportional to 145,492 and 218,779 is: 328,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492 : 218,779 = 218,779 : x
  2. Step 2: Convert to fraction form
    145,492/218,779 = 218,779/x
  3. Step 3: Cross multiply
    145,492x = 218,779 × 218,779
  4. Step 4: Simplify right side
    145,492x = 47,864,250,841
  5. Step 5: Solve for x
    x = 47,864,250,841/145,492
  6. Step 6: Final answer
    x = 328,982.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.