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Finding the Third Proportional to 402,836 and 877,598

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Solution

The third proportional to 402,836 and 877,598 is: 1,911,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,836 : 877,598 = 877,598 : x
  2. Step 2: Convert to fraction form
    402,836/877,598 = 877,598/x
  3. Step 3: Cross multiply
    402,836x = 877,598 × 877,598
  4. Step 4: Simplify right side
    402,836x = 770,178,249,604
  5. Step 5: Solve for x
    x = 770,178,249,604/402,836
  6. Step 6: Final answer
    x = 1,911,890.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.