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Finding the Third Proportional to 210,213 and 302,197.50

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Solution

The third proportional to 210,213 and 302,197.50 is: 434,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213 : 302,197.50 = 302,197.50 : x
  2. Step 2: Convert to fraction form
    210,213/302,197.50 = 302,197.50/x
  3. Step 3: Cross multiply
    210,213x = 302,197.50 × 302,197.50
  4. Step 4: Simplify right side
    210,213x = 91,323,329,006.25
  5. Step 5: Solve for x
    x = 91,323,329,006.25/210,213
  6. Step 6: Final answer
    x = 434,432.36

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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.