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Finding the Third Proportional to 371,331 and 557,813

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Solution

The third proportional to 371,331 and 557,813 is: 837,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,331 : 557,813 = 557,813 : x
  2. Step 2: Convert to fraction form
    371,331/557,813 = 557,813/x
  3. Step 3: Cross multiply
    371,331x = 557,813 × 557,813
  4. Step 4: Simplify right side
    371,331x = 311,155,342,969
  5. Step 5: Solve for x
    x = 311,155,342,969/371,331
  6. Step 6: Final answer
    x = 837,946.05

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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.