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Finding the Third Proportional to 907.41 and 1,985.81

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Solution

The third proportional to 907.41 and 1,985.81 is: 4,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.41 : 1,985.81 = 1,985.81 : x
  2. Step 2: Convert to fraction form
    907.41/1,985.81 = 1,985.81/x
  3. Step 3: Cross multiply
    907.41x = 1,985.81 × 1,985.81
  4. Step 4: Simplify right side
    907.41x = 3,943,451.29
  5. Step 5: Solve for x
    x = 3,943,451.29/907.41
  6. Step 6: Final answer
    x = 4,345.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.