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Finding the Third Proportional to 640,253 and 958,705

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Solution

The third proportional to 640,253 and 958,705 is: 1,435,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,253 : 958,705 = 958,705 : x
  2. Step 2: Convert to fraction form
    640,253/958,705 = 958,705/x
  3. Step 3: Cross multiply
    640,253x = 958,705 × 958,705
  4. Step 4: Simplify right side
    640,253x = 919,115,277,025
  5. Step 5: Solve for x
    x = 919,115,277,025/640,253
  6. Step 6: Final answer
    x = 1,435,550.13

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