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Finding the Third Proportional to 430,850 and 920,348

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Solution

The third proportional to 430,850 and 920,348 is: 1,965,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,850 : 920,348 = 920,348 : x
  2. Step 2: Convert to fraction form
    430,850/920,348 = 920,348/x
  3. Step 3: Cross multiply
    430,850x = 920,348 × 920,348
  4. Step 4: Simplify right side
    430,850x = 847,040,441,104
  5. Step 5: Solve for x
    x = 847,040,441,104/430,850
  6. Step 6: Final answer
    x = 1,965,975.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.