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Finding the Third Proportional to 459,764 and 631,130

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Solution

The third proportional to 459,764 and 631,130 is: 866,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,764 : 631,130 = 631,130 : x
  2. Step 2: Convert to fraction form
    459,764/631,130 = 631,130/x
  3. Step 3: Cross multiply
    459,764x = 631,130 × 631,130
  4. Step 4: Simplify right side
    459,764x = 398,325,076,900
  5. Step 5: Solve for x
    x = 398,325,076,900/459,764
  6. Step 6: Final answer
    x = 866,368.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.