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Finding the Third Proportional to 438,608 and 939,488

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Solution

The third proportional to 438,608 and 939,488 is: 2,012,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,608 : 939,488 = 939,488 : x
  2. Step 2: Convert to fraction form
    438,608/939,488 = 939,488/x
  3. Step 3: Cross multiply
    438,608x = 939,488 × 939,488
  4. Step 4: Simplify right side
    438,608x = 882,637,702,144
  5. Step 5: Solve for x
    x = 882,637,702,144/438,608
  6. Step 6: Final answer
    x = 2,012,361.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.