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Finding the Third Proportional to 430,842 and 920,328

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Solution

The third proportional to 430,842 and 920,328 is: 1,965,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,842 : 920,328 = 920,328 : x
  2. Step 2: Convert to fraction form
    430,842/920,328 = 920,328/x
  3. Step 3: Cross multiply
    430,842x = 920,328 × 920,328
  4. Step 4: Simplify right side
    430,842x = 847,003,627,584
  5. Step 5: Solve for x
    x = 847,003,627,584/430,842
  6. Step 6: Final answer
    x = 1,965,926.32

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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.