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Finding the Third Proportional to 426,904 and 641,490

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Solution

The third proportional to 426,904 and 641,490 is: 963,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,904 : 641,490 = 641,490 : x
  2. Step 2: Convert to fraction form
    426,904/641,490 = 641,490/x
  3. Step 3: Cross multiply
    426,904x = 641,490 × 641,490
  4. Step 4: Simplify right side
    426,904x = 411,509,420,100
  5. Step 5: Solve for x
    x = 411,509,420,100/426,904
  6. Step 6: Final answer
    x = 963,939.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.