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Finding the Third Proportional to 520,803 and 786,807

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Solution

The third proportional to 520,803 and 786,807 is: 1,188,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,803 : 786,807 = 786,807 : x
  2. Step 2: Convert to fraction form
    520,803/786,807 = 786,807/x
  3. Step 3: Cross multiply
    520,803x = 786,807 × 786,807
  4. Step 4: Simplify right side
    520,803x = 619,065,255,249
  5. Step 5: Solve for x
    x = 619,065,255,249/520,803
  6. Step 6: Final answer
    x = 1,188,674.52

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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.