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Finding the Third Proportional to 431,827,444 and 940,326,248

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Solution

The third proportional to 431,827,444 and 940,326,248 is: 2,047,608,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,827,444 : 940,326,248 = 940,326,248 : x
  2. Step 2: Convert to fraction form
    431,827,444/940,326,248 = 940,326,248/x
  3. Step 3: Cross multiply
    431,827,444x = 940,326,248 × 940,326,248
  4. Step 4: Simplify right side
    431,827,444x = 884,213,452,677,757,440
  5. Step 5: Solve for x
    x = 884,213,452,677,757,440/431,827,444
  6. Step 6: Final answer
    x = 2,047,608,286.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.