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Finding the Third Proportional to 312,202 and 446,130

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Solution

The third proportional to 312,202 and 446,130 is: 637,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,202 : 446,130 = 446,130 : x
  2. Step 2: Convert to fraction form
    312,202/446,130 = 446,130/x
  3. Step 3: Cross multiply
    312,202x = 446,130 × 446,130
  4. Step 4: Simplify right side
    312,202x = 199,031,976,900
  5. Step 5: Solve for x
    x = 199,031,976,900/312,202
  6. Step 6: Final answer
    x = 637,510.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.