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Finding the Third Proportional to 917,578 and 2,159,133

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Solution

The third proportional to 917,578 and 2,159,133 is: 5,080,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,578 : 2,159,133 = 2,159,133 : x
  2. Step 2: Convert to fraction form
    917,578/2,159,133 = 2,159,133/x
  3. Step 3: Cross multiply
    917,578x = 2,159,133 × 2,159,133
  4. Step 4: Simplify right side
    917,578x = 4,661,855,311,689
  5. Step 5: Solve for x
    x = 4,661,855,311,689/917,578
  6. Step 6: Final answer
    x = 5,080,609.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.