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Finding the Third Proportional to 210,476 and 320,967

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Solution

The third proportional to 210,476 and 320,967 is: 489,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,476 : 320,967 = 320,967 : x
  2. Step 2: Convert to fraction form
    210,476/320,967 = 320,967/x
  3. Step 3: Cross multiply
    210,476x = 320,967 × 320,967
  4. Step 4: Simplify right side
    210,476x = 103,019,815,089
  5. Step 5: Solve for x
    x = 103,019,815,089/210,476
  6. Step 6: Final answer
    x = 489,461.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.