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Finding the Third Proportional to 1,584,278 and 3,421,080

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Solution

The third proportional to 1,584,278 and 3,421,080 is: 7,387,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,278 : 3,421,080 = 3,421,080 : x
  2. Step 2: Convert to fraction form
    1,584,278/3,421,080 = 3,421,080/x
  3. Step 3: Cross multiply
    1,584,278x = 3,421,080 × 3,421,080
  4. Step 4: Simplify right side
    1,584,278x = 11,703,788,366,400
  5. Step 5: Solve for x
    x = 11,703,788,366,400/1,584,278
  6. Step 6: Final answer
    x = 7,387,458.75

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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.