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Finding the Third Proportional to 390,445.88 and 855,676.13

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Solution

The third proportional to 390,445.88 and 855,676.13 is: 1,875,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,445.88 : 855,676.13 = 855,676.13 : x
  2. Step 2: Convert to fraction form
    390,445.88/855,676.13 = 855,676.13/x
  3. Step 3: Cross multiply
    390,445.88x = 855,676.13 × 855,676.13
  4. Step 4: Simplify right side
    390,445.88x = 732,181,630,895.02
  5. Step 5: Solve for x
    x = 732,181,630,895.02/390,445.88
  6. Step 6: Final answer
    x = 1,875,244.89

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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.