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Finding the Third Proportional to 228,136 and 340,252

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Solution

The third proportional to 228,136 and 340,252 is: 507,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,136 : 340,252 = 340,252 : x
  2. Step 2: Convert to fraction form
    228,136/340,252 = 340,252/x
  3. Step 3: Cross multiply
    228,136x = 340,252 × 340,252
  4. Step 4: Simplify right side
    228,136x = 115,771,423,504
  5. Step 5: Solve for x
    x = 115,771,423,504/228,136
  6. Step 6: Final answer
    x = 507,466.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.