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Finding the Third Proportional to 321,972 and 703,776

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Solution

The third proportional to 321,972 and 703,776 is: 1,538,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,972 : 703,776 = 703,776 : x
  2. Step 2: Convert to fraction form
    321,972/703,776 = 703,776/x
  3. Step 3: Cross multiply
    321,972x = 703,776 × 703,776
  4. Step 4: Simplify right side
    321,972x = 495,300,658,176
  5. Step 5: Solve for x
    x = 495,300,658,176/321,972
  6. Step 6: Final answer
    x = 1,538,334.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.