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Finding the Third Proportional to 430,956 and 579,726

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Solution

The third proportional to 430,956 and 579,726 is: 779,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,956 : 579,726 = 579,726 : x
  2. Step 2: Convert to fraction form
    430,956/579,726 = 579,726/x
  3. Step 3: Cross multiply
    430,956x = 579,726 × 579,726
  4. Step 4: Simplify right side
    430,956x = 336,082,235,076
  5. Step 5: Solve for x
    x = 336,082,235,076/430,956
  6. Step 6: Final answer
    x = 779,852.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.