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Finding the Third Proportional to 262,617 and 382,438.50

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Solution

The third proportional to 262,617 and 382,438.50 is: 556,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,617 : 382,438.50 = 382,438.50 : x
  2. Step 2: Convert to fraction form
    262,617/382,438.50 = 382,438.50/x
  3. Step 3: Cross multiply
    262,617x = 382,438.50 × 382,438.50
  4. Step 4: Simplify right side
    262,617x = 146,259,206,282.25
  5. Step 5: Solve for x
    x = 146,259,206,282.25/262,617
  6. Step 6: Final answer
    x = 556,929.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.