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Finding the Third Proportional to 917,510 and 2,158,723

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Solution

The third proportional to 917,510 and 2,158,723 is: 5,079,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,510 : 2,158,723 = 2,158,723 : x
  2. Step 2: Convert to fraction form
    917,510/2,158,723 = 2,158,723/x
  3. Step 3: Cross multiply
    917,510x = 2,158,723 × 2,158,723
  4. Step 4: Simplify right side
    917,510x = 4,660,084,990,729
  5. Step 5: Solve for x
    x = 4,660,084,990,729/917,510
  6. Step 6: Final answer
    x = 5,079,056.35

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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.