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Finding the Third Proportional to 201,136 and 435,664

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Solution

The third proportional to 201,136 and 435,664 is: 943,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 435,664 = 435,664 : x
  2. Step 2: Convert to fraction form
    201,136/435,664 = 435,664/x
  3. Step 3: Cross multiply
    201,136x = 435,664 × 435,664
  4. Step 4: Simplify right side
    201,136x = 189,803,120,896
  5. Step 5: Solve for x
    x = 189,803,120,896/201,136
  6. Step 6: Final answer
    x = 943,655.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.