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Finding the Third Proportional to 379,575 and 557,941.50

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Solution

The third proportional to 379,575 and 557,941.50 is: 820,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,575 : 557,941.50 = 557,941.50 : x
  2. Step 2: Convert to fraction form
    379,575/557,941.50 = 557,941.50/x
  3. Step 3: Cross multiply
    379,575x = 557,941.50 × 557,941.50
  4. Step 4: Simplify right side
    379,575x = 311,298,717,422.25
  5. Step 5: Solve for x
    x = 311,298,717,422.25/379,575
  6. Step 6: Final answer
    x = 820,124.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.