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Finding the Third Proportional to 357,136 and 762,708

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Solution

The third proportional to 357,136 and 762,708 is: 1,628,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136 : 762,708 = 762,708 : x
  2. Step 2: Convert to fraction form
    357,136/762,708 = 762,708/x
  3. Step 3: Cross multiply
    357,136x = 762,708 × 762,708
  4. Step 4: Simplify right side
    357,136x = 581,723,493,264
  5. Step 5: Solve for x
    x = 581,723,493,264/357,136
  6. Step 6: Final answer
    x = 1,628,857.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.