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Finding the Third Proportional to 426,920 and 997,316

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Solution

The third proportional to 426,920 and 997,316 is: 2,329,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,920 : 997,316 = 997,316 : x
  2. Step 2: Convert to fraction form
    426,920/997,316 = 997,316/x
  3. Step 3: Cross multiply
    426,920x = 997,316 × 997,316
  4. Step 4: Simplify right side
    426,920x = 994,639,203,856
  5. Step 5: Solve for x
    x = 994,639,203,856/426,920
  6. Step 6: Final answer
    x = 2,329,802.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.