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Finding the Third Proportional to 431,210 and 917,641

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Solution

The third proportional to 431,210 and 917,641 is: 1,952,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,210 : 917,641 = 917,641 : x
  2. Step 2: Convert to fraction form
    431,210/917,641 = 917,641/x
  3. Step 3: Cross multiply
    431,210x = 917,641 × 917,641
  4. Step 4: Simplify right side
    431,210x = 842,065,004,881
  5. Step 5: Solve for x
    x = 842,065,004,881/431,210
  6. Step 6: Final answer
    x = 1,952,795.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.