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Finding the Third Proportional to 370,169 and 557,990

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Solution

The third proportional to 370,169 and 557,990 is: 841,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,169 : 557,990 = 557,990 : x
  2. Step 2: Convert to fraction form
    370,169/557,990 = 557,990/x
  3. Step 3: Cross multiply
    370,169x = 557,990 × 557,990
  4. Step 4: Simplify right side
    370,169x = 311,352,840,100
  5. Step 5: Solve for x
    x = 311,352,840,100/370,169
  6. Step 6: Final answer
    x = 841,109.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.