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Finding the Third Proportional to 321,720 and 473,214

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Solution

The third proportional to 321,720 and 473,214 is: 696,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,720 : 473,214 = 473,214 : x
  2. Step 2: Convert to fraction form
    321,720/473,214 = 473,214/x
  3. Step 3: Cross multiply
    321,720x = 473,214 × 473,214
  4. Step 4: Simplify right side
    321,720x = 223,931,489,796
  5. Step 5: Solve for x
    x = 223,931,489,796/321,720
  6. Step 6: Final answer
    x = 696,044.67

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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.