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Finding the Third Proportional to 425,284 and 920,552

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Solution

The third proportional to 425,284 and 920,552 is: 1,992,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,284 : 920,552 = 920,552 : x
  2. Step 2: Convert to fraction form
    425,284/920,552 = 920,552/x
  3. Step 3: Cross multiply
    425,284x = 920,552 × 920,552
  4. Step 4: Simplify right side
    425,284x = 847,415,984,704
  5. Step 5: Solve for x
    x = 847,415,984,704/425,284
  6. Step 6: Final answer
    x = 1,992,588.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.