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Finding the Third Proportional to 164,136 and 387,248

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Solution

The third proportional to 164,136 and 387,248 is: 913,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,136 : 387,248 = 387,248 : x
  2. Step 2: Convert to fraction form
    164,136/387,248 = 387,248/x
  3. Step 3: Cross multiply
    164,136x = 387,248 × 387,248
  4. Step 4: Simplify right side
    164,136x = 149,961,013,504
  5. Step 5: Solve for x
    x = 149,961,013,504/164,136
  6. Step 6: Final answer
    x = 913,638.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.