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Finding the Third Proportional to 321,786 and 473,384.25

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Solution

The third proportional to 321,786 and 473,384.25 is: 696,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,786 : 473,384.25 = 473,384.25 : x
  2. Step 2: Convert to fraction form
    321,786/473,384.25 = 473,384.25/x
  3. Step 3: Cross multiply
    321,786x = 473,384.25 × 473,384.25
  4. Step 4: Simplify right side
    321,786x = 224,092,648,148.06
  5. Step 5: Solve for x
    x = 224,092,648,148.06/321,786
  6. Step 6: Final answer
    x = 696,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.