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Finding the Third Proportional to 370,116 and 557,911

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Solution

The third proportional to 370,116 and 557,911 is: 840,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,116 : 557,911 = 557,911 : x
  2. Step 2: Convert to fraction form
    370,116/557,911 = 557,911/x
  3. Step 3: Cross multiply
    370,116x = 557,911 × 557,911
  4. Step 4: Simplify right side
    370,116x = 311,264,683,921
  5. Step 5: Solve for x
    x = 311,264,683,921/370,116
  6. Step 6: Final answer
    x = 840,992.24

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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.