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Finding the Third Proportional to 326,520 and 478,602

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Solution

The third proportional to 326,520 and 478,602 is: 701,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520 : 478,602 = 478,602 : x
  2. Step 2: Convert to fraction form
    326,520/478,602 = 478,602/x
  3. Step 3: Cross multiply
    326,520x = 478,602 × 478,602
  4. Step 4: Simplify right side
    326,520x = 229,059,874,404
  5. Step 5: Solve for x
    x = 229,059,874,404/326,520
  6. Step 6: Final answer
    x = 701,518.66

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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.