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Finding the Third Proportional to 321,234 and 470,331

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Solution

The third proportional to 321,234 and 470,331 is: 688,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,234 : 470,331 = 470,331 : x
  2. Step 2: Convert to fraction form
    321,234/470,331 = 470,331/x
  3. Step 3: Cross multiply
    321,234x = 470,331 × 470,331
  4. Step 4: Simplify right side
    321,234x = 221,211,249,561
  5. Step 5: Solve for x
    x = 221,211,249,561/321,234
  6. Step 6: Final answer
    x = 688,629.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.