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Finding the Third Proportional to 298,112 and 642,688

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Solution

The third proportional to 298,112 and 642,688 is: 1,385,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,112 : 642,688 = 642,688 : x
  2. Step 2: Convert to fraction form
    298,112/642,688 = 642,688/x
  3. Step 3: Cross multiply
    298,112x = 642,688 × 642,688
  4. Step 4: Simplify right side
    298,112x = 413,047,865,344
  5. Step 5: Solve for x
    x = 413,047,865,344/298,112
  6. Step 6: Final answer
    x = 1,385,545.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.