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Finding the Third Proportional to 205,307.44 and 438,987.94

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Solution

The third proportional to 205,307.44 and 438,987.94 is: 938,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,307.44 : 438,987.94 = 438,987.94 : x
  2. Step 2: Convert to fraction form
    205,307.44/438,987.94 = 438,987.94/x
  3. Step 3: Cross multiply
    205,307.44x = 438,987.94 × 438,987.94
  4. Step 4: Simplify right side
    205,307.44x = 192,710,409,270.50
  5. Step 5: Solve for x
    x = 192,710,409,270.50/205,307.44
  6. Step 6: Final answer
    x = 938,643.10

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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.