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Finding the Third Proportional to 321,255 and 714,318

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Solution

The third proportional to 321,255 and 714,318 is: 1,588,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,255 : 714,318 = 714,318 : x
  2. Step 2: Convert to fraction form
    321,255/714,318 = 714,318/x
  3. Step 3: Cross multiply
    321,255x = 714,318 × 714,318
  4. Step 4: Simplify right side
    321,255x = 510,250,205,124
  5. Step 5: Solve for x
    x = 510,250,205,124/321,255
  6. Step 6: Final answer
    x = 1,588,302.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.