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Finding the Third Proportional to 371,893 and 812,906

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Solution

The third proportional to 371,893 and 812,906 is: 1,776,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,893 : 812,906 = 812,906 : x
  2. Step 2: Convert to fraction form
    371,893/812,906 = 812,906/x
  3. Step 3: Cross multiply
    371,893x = 812,906 × 812,906
  4. Step 4: Simplify right side
    371,893x = 660,816,164,836
  5. Step 5: Solve for x
    x = 660,816,164,836/371,893
  6. Step 6: Final answer
    x = 1,776,898.64

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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.