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Finding the Third Proportional to 426,336.75 and 920,983.50

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Solution

The third proportional to 426,336.75 and 920,983.50 is: 1,989,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,336.75 : 920,983.50 = 920,983.50 : x
  2. Step 2: Convert to fraction form
    426,336.75/920,983.50 = 920,983.50/x
  3. Step 3: Cross multiply
    426,336.75x = 920,983.50 × 920,983.50
  4. Step 4: Simplify right side
    426,336.75x = 848,210,607,272.25
  5. Step 5: Solve for x
    x = 848,210,607,272.25/426,336.75
  6. Step 6: Final answer
    x = 1,989,532.00

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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.