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Finding the Third Proportional to 504,080 and 1,090,904

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Solution

The third proportional to 504,080 and 1,090,904 is: 2,360,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,080 : 1,090,904 = 1,090,904 : x
  2. Step 2: Convert to fraction form
    504,080/1,090,904 = 1,090,904/x
  3. Step 3: Cross multiply
    504,080x = 1,090,904 × 1,090,904
  4. Step 4: Simplify right side
    504,080x = 1,190,071,537,216
  5. Step 5: Solve for x
    x = 1,190,071,537,216/504,080
  6. Step 6: Final answer
    x = 2,360,878.31

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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.