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Finding the Third Proportional to 388,088 and 579,738

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Solution

The third proportional to 388,088 and 579,738 is: 866,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,088 : 579,738 = 579,738 : x
  2. Step 2: Convert to fraction form
    388,088/579,738 = 579,738/x
  3. Step 3: Cross multiply
    388,088x = 579,738 × 579,738
  4. Step 4: Simplify right side
    388,088x = 336,096,148,644
  5. Step 5: Solve for x
    x = 336,096,148,644/388,088
  6. Step 6: Final answer
    x = 866,030.77

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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.