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Finding the Third Proportional to 431,390 and 918,103

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Solution

The third proportional to 431,390 and 918,103 is: 1,953,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390 : 918,103 = 918,103 : x
  2. Step 2: Convert to fraction form
    431,390/918,103 = 918,103/x
  3. Step 3: Cross multiply
    431,390x = 918,103 × 918,103
  4. Step 4: Simplify right side
    431,390x = 842,913,118,609
  5. Step 5: Solve for x
    x = 842,913,118,609/431,390
  6. Step 6: Final answer
    x = 1,953,946.82

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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.