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Finding the Third Proportional to 210,213 and 302,197

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Solution

The third proportional to 210,213 and 302,197 is: 434,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213 : 302,197 = 302,197 : x
  2. Step 2: Convert to fraction form
    210,213/302,197 = 302,197/x
  3. Step 3: Cross multiply
    210,213x = 302,197 × 302,197
  4. Step 4: Simplify right side
    210,213x = 91,323,026,809
  5. Step 5: Solve for x
    x = 91,323,026,809/210,213
  6. Step 6: Final answer
    x = 434,430.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.