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Finding the Third Proportional to 421,298 and 877,582

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Solution

The third proportional to 421,298 and 877,582 is: 1,828,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,298 : 877,582 = 877,582 : x
  2. Step 2: Convert to fraction form
    421,298/877,582 = 877,582/x
  3. Step 3: Cross multiply
    421,298x = 877,582 × 877,582
  4. Step 4: Simplify right side
    421,298x = 770,150,166,724
  5. Step 5: Solve for x
    x = 770,150,166,724/421,298
  6. Step 6: Final answer
    x = 1,828,041.35

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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.