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Finding the Third Proportional to 136,428 and 298,136

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Solution

The third proportional to 136,428 and 298,136 is: 651,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,428 : 298,136 = 298,136 : x
  2. Step 2: Convert to fraction form
    136,428/298,136 = 298,136/x
  3. Step 3: Cross multiply
    136,428x = 298,136 × 298,136
  4. Step 4: Simplify right side
    136,428x = 88,885,074,496
  5. Step 5: Solve for x
    x = 88,885,074,496/136,428
  6. Step 6: Final answer
    x = 651,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.