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Finding the Third Proportional to 420.19 and 907.31

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Solution

The third proportional to 420.19 and 907.31 is: 1,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 907.31 = 907.31 : x
  2. Step 2: Convert to fraction form
    420.19/907.31 = 907.31/x
  3. Step 3: Cross multiply
    420.19x = 907.31 × 907.31
  4. Step 4: Simplify right side
    420.19x = 823,215.97
  5. Step 5: Solve for x
    x = 823,215.97/420.19
  6. Step 6: Final answer
    x = 1,959.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.