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Finding the Third Proportional to 421,746 and 878,490

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Solution

The third proportional to 421,746 and 878,490 is: 1,829,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,746 : 878,490 = 878,490 : x
  2. Step 2: Convert to fraction form
    421,746/878,490 = 878,490/x
  3. Step 3: Cross multiply
    421,746x = 878,490 × 878,490
  4. Step 4: Simplify right side
    421,746x = 771,744,680,100
  5. Step 5: Solve for x
    x = 771,744,680,100/421,746
  6. Step 6: Final answer
    x = 1,829,880.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.