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Finding the Third Proportional to 403,103 and 609,865

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Solution

The third proportional to 403,103 and 609,865 is: 922,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,103 : 609,865 = 609,865 : x
  2. Step 2: Convert to fraction form
    403,103/609,865 = 609,865/x
  3. Step 3: Cross multiply
    403,103x = 609,865 × 609,865
  4. Step 4: Simplify right side
    403,103x = 371,935,318,225
  5. Step 5: Solve for x
    x = 371,935,318,225/403,103
  6. Step 6: Final answer
    x = 922,680.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.