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Finding the Third Proportional to 309,020 and 463,222

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Solution

The third proportional to 309,020 and 463,222 is: 694,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,020 : 463,222 = 463,222 : x
  2. Step 2: Convert to fraction form
    309,020/463,222 = 463,222/x
  3. Step 3: Cross multiply
    309,020x = 463,222 × 463,222
  4. Step 4: Simplify right side
    309,020x = 214,574,621,284
  5. Step 5: Solve for x
    x = 214,574,621,284/309,020
  6. Step 6: Final answer
    x = 694,371.31

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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.