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Finding the Third Proportional to 235,978 and 513,428

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Solution

The third proportional to 235,978 and 513,428 is: 1,117,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,978 : 513,428 = 513,428 : x
  2. Step 2: Convert to fraction form
    235,978/513,428 = 513,428/x
  3. Step 3: Cross multiply
    235,978x = 513,428 × 513,428
  4. Step 4: Simplify right side
    235,978x = 263,608,311,184
  5. Step 5: Solve for x
    x = 263,608,311,184/235,978
  6. Step 6: Final answer
    x = 1,117,088.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.