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Finding the Third Proportional to 210,072 and 315,262

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Solution

The third proportional to 210,072 and 315,262 is: 473,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,072 : 315,262 = 315,262 : x
  2. Step 2: Convert to fraction form
    210,072/315,262 = 315,262/x
  3. Step 3: Cross multiply
    210,072x = 315,262 × 315,262
  4. Step 4: Simplify right side
    210,072x = 99,390,128,644
  5. Step 5: Solve for x
    x = 99,390,128,644/210,072
  6. Step 6: Final answer
    x = 473,124.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.