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Finding the Third Proportional to 459,108 and 712,611

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Solution

The third proportional to 459,108 and 712,611 is: 1,106,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,108 : 712,611 = 712,611 : x
  2. Step 2: Convert to fraction form
    459,108/712,611 = 712,611/x
  3. Step 3: Cross multiply
    459,108x = 712,611 × 712,611
  4. Step 4: Simplify right side
    459,108x = 507,814,437,321
  5. Step 5: Solve for x
    x = 507,814,437,321/459,108
  6. Step 6: Final answer
    x = 1,106,089.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.