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Finding the Third Proportional to 475,803 and 645,876

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Solution

The third proportional to 475,803 and 645,876 is: 876,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,803 : 645,876 = 645,876 : x
  2. Step 2: Convert to fraction form
    475,803/645,876 = 645,876/x
  3. Step 3: Cross multiply
    475,803x = 645,876 × 645,876
  4. Step 4: Simplify right side
    475,803x = 417,155,807,376
  5. Step 5: Solve for x
    x = 417,155,807,376/475,803
  6. Step 6: Final answer
    x = 876,740.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.