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Finding the Third Proportional to 298,616.63 and 653,290.31

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Solution

The third proportional to 298,616.63 and 653,290.31 is: 1,429,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,616.63 : 653,290.31 = 653,290.31 : x
  2. Step 2: Convert to fraction form
    298,616.63/653,290.31 = 653,290.31/x
  3. Step 3: Cross multiply
    298,616.63x = 653,290.31 × 653,290.31
  4. Step 4: Simplify right side
    298,616.63x = 426,788,232,406.35
  5. Step 5: Solve for x
    x = 426,788,232,406.35/298,616.63
  6. Step 6: Final answer
    x = 1,429,217.92

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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.