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Finding the Third Proportional to 321,232 and 499,640

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Solution

The third proportional to 321,232 and 499,640 is: 777,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,232 : 499,640 = 499,640 : x
  2. Step 2: Convert to fraction form
    321,232/499,640 = 499,640/x
  3. Step 3: Cross multiply
    321,232x = 499,640 × 499,640
  4. Step 4: Simplify right side
    321,232x = 249,640,129,600
  5. Step 5: Solve for x
    x = 249,640,129,600/321,232
  6. Step 6: Final answer
    x = 777,133.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.