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Finding the Third Proportional to 450,574 and 629,931

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Solution

The third proportional to 450,574 and 629,931 is: 880,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,574 : 629,931 = 629,931 : x
  2. Step 2: Convert to fraction form
    450,574/629,931 = 629,931/x
  3. Step 3: Cross multiply
    450,574x = 629,931 × 629,931
  4. Step 4: Simplify right side
    450,574x = 396,813,064,761
  5. Step 5: Solve for x
    x = 396,813,064,761/450,574
  6. Step 6: Final answer
    x = 880,683.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.