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Finding the Third Proportional to 388,080 and 579,726

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Solution

The third proportional to 388,080 and 579,726 is: 866,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,080 : 579,726 = 579,726 : x
  2. Step 2: Convert to fraction form
    388,080/579,726 = 579,726/x
  3. Step 3: Cross multiply
    388,080x = 579,726 × 579,726
  4. Step 4: Simplify right side
    388,080x = 336,082,235,076
  5. Step 5: Solve for x
    x = 336,082,235,076/388,080
  6. Step 6: Final answer
    x = 866,012.77

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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.