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Finding the Third Proportional to 431,028 and 942,312

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Solution

The third proportional to 431,028 and 942,312 is: 2,060,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,028 : 942,312 = 942,312 : x
  2. Step 2: Convert to fraction form
    431,028/942,312 = 942,312/x
  3. Step 3: Cross multiply
    431,028x = 942,312 × 942,312
  4. Step 4: Simplify right side
    431,028x = 887,951,905,344
  5. Step 5: Solve for x
    x = 887,951,905,344/431,028
  6. Step 6: Final answer
    x = 2,060,079.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.