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Finding the Third Proportional to 402,948 and 883,396

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Solution

The third proportional to 402,948 and 883,396 is: 1,936,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,948 : 883,396 = 883,396 : x
  2. Step 2: Convert to fraction form
    402,948/883,396 = 883,396/x
  3. Step 3: Cross multiply
    402,948x = 883,396 × 883,396
  4. Step 4: Simplify right side
    402,948x = 780,388,492,816
  5. Step 5: Solve for x
    x = 780,388,492,816/402,948
  6. Step 6: Final answer
    x = 1,936,697.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.