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Finding the Third Proportional to 401,038 and 891,748

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Solution

The third proportional to 401,038 and 891,748 is: 1,982,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038 : 891,748 = 891,748 : x
  2. Step 2: Convert to fraction form
    401,038/891,748 = 891,748/x
  3. Step 3: Cross multiply
    401,038x = 891,748 × 891,748
  4. Step 4: Simplify right side
    401,038x = 795,214,495,504
  5. Step 5: Solve for x
    x = 795,214,495,504/401,038
  6. Step 6: Final answer
    x = 1,982,890.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.