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Finding the Third Proportional to 424,178 and 877,882

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Solution

The third proportional to 424,178 and 877,882 is: 1,816,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,178 : 877,882 = 877,882 : x
  2. Step 2: Convert to fraction form
    424,178/877,882 = 877,882/x
  3. Step 3: Cross multiply
    424,178x = 877,882 × 877,882
  4. Step 4: Simplify right side
    424,178x = 770,676,805,924
  5. Step 5: Solve for x
    x = 770,676,805,924/424,178
  6. Step 6: Final answer
    x = 1,816,871.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.