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Finding the Third Proportional to 357,056 and 489,600

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Solution

The third proportional to 357,056 and 489,600 is: 671,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,056 : 489,600 = 489,600 : x
  2. Step 2: Convert to fraction form
    357,056/489,600 = 489,600/x
  3. Step 3: Cross multiply
    357,056x = 489,600 × 489,600
  4. Step 4: Simplify right side
    357,056x = 239,708,160,000
  5. Step 5: Solve for x
    x = 239,708,160,000/357,056
  6. Step 6: Final answer
    x = 671,346.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.