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Finding the Third Proportional to 210,276 and 326,502

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Solution

The third proportional to 210,276 and 326,502 is: 506,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276 : 326,502 = 326,502 : x
  2. Step 2: Convert to fraction form
    210,276/326,502 = 326,502/x
  3. Step 3: Cross multiply
    210,276x = 326,502 × 326,502
  4. Step 4: Simplify right side
    210,276x = 106,603,556,004
  5. Step 5: Solve for x
    x = 106,603,556,004/210,276
  6. Step 6: Final answer
    x = 506,969.68

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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.