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Finding the Third Proportional to 438,624 and 939,520

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Solution

The third proportional to 438,624 and 939,520 is: 2,012,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,624 : 939,520 = 939,520 : x
  2. Step 2: Convert to fraction form
    438,624/939,520 = 939,520/x
  3. Step 3: Cross multiply
    438,624x = 939,520 × 939,520
  4. Step 4: Simplify right side
    438,624x = 882,697,830,400
  5. Step 5: Solve for x
    x = 882,697,830,400/438,624
  6. Step 6: Final answer
    x = 2,012,424.83

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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.