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Finding the Third Proportional to 712,520 and 1,136,172

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Solution

The third proportional to 712,520 and 1,136,172 is: 1,811,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,520 : 1,136,172 = 1,136,172 : x
  2. Step 2: Convert to fraction form
    712,520/1,136,172 = 1,136,172/x
  3. Step 3: Cross multiply
    712,520x = 1,136,172 × 1,136,172
  4. Step 4: Simplify right side
    712,520x = 1,290,886,813,584
  5. Step 5: Solve for x
    x = 1,290,886,813,584/712,520
  6. Step 6: Final answer
    x = 1,811,720.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.