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Finding the Third Proportional to 426,332 and 920,974

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Solution

The third proportional to 426,332 and 920,974 is: 1,989,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,332 : 920,974 = 920,974 : x
  2. Step 2: Convert to fraction form
    426,332/920,974 = 920,974/x
  3. Step 3: Cross multiply
    426,332x = 920,974 × 920,974
  4. Step 4: Simplify right side
    426,332x = 848,193,108,676
  5. Step 5: Solve for x
    x = 848,193,108,676/426,332
  6. Step 6: Final answer
    x = 1,989,513.12

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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.