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Finding the Third Proportional to 431,510 and 938,312

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Solution

The third proportional to 431,510 and 938,312 is: 2,040,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,510 : 938,312 = 938,312 : x
  2. Step 2: Convert to fraction form
    431,510/938,312 = 938,312/x
  3. Step 3: Cross multiply
    431,510x = 938,312 × 938,312
  4. Step 4: Simplify right side
    431,510x = 880,429,409,344
  5. Step 5: Solve for x
    x = 880,429,409,344/431,510
  6. Step 6: Final answer
    x = 2,040,345.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.