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Finding the Third Proportional to 245,056 and 390,192

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Solution

The third proportional to 245,056 and 390,192 is: 621,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,056 : 390,192 = 390,192 : x
  2. Step 2: Convert to fraction form
    245,056/390,192 = 390,192/x
  3. Step 3: Cross multiply
    245,056x = 390,192 × 390,192
  4. Step 4: Simplify right side
    245,056x = 152,249,796,864
  5. Step 5: Solve for x
    x = 152,249,796,864/245,056
  6. Step 6: Final answer
    x = 621,285.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.