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Finding the Third Proportional to 326,522 and 478,605

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Solution

The third proportional to 326,522 and 478,605 is: 701,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,522 : 478,605 = 478,605 : x
  2. Step 2: Convert to fraction form
    326,522/478,605 = 478,605/x
  3. Step 3: Cross multiply
    326,522x = 478,605 × 478,605
  4. Step 4: Simplify right side
    326,522x = 229,062,746,025
  5. Step 5: Solve for x
    x = 229,062,746,025/326,522
  6. Step 6: Final answer
    x = 701,523.16

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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.