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Finding the Third Proportional to 210,306 and 326,553

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Solution

The third proportional to 210,306 and 326,553 is: 507,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,306 : 326,553 = 326,553 : x
  2. Step 2: Convert to fraction form
    210,306/326,553 = 326,553/x
  3. Step 3: Cross multiply
    210,306x = 326,553 × 326,553
  4. Step 4: Simplify right side
    210,306x = 106,636,861,809
  5. Step 5: Solve for x
    x = 106,636,861,809/210,306
  6. Step 6: Final answer
    x = 507,055.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.