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Finding the Third Proportional to 489,387 and 689,178

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Solution

The third proportional to 489,387 and 689,178 is: 970,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,387 : 689,178 = 689,178 : x
  2. Step 2: Convert to fraction form
    489,387/689,178 = 689,178/x
  3. Step 3: Cross multiply
    489,387x = 689,178 × 689,178
  4. Step 4: Simplify right side
    489,387x = 474,966,315,684
  5. Step 5: Solve for x
    x = 474,966,315,684/489,387
  6. Step 6: Final answer
    x = 970,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.