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Finding the Third Proportional to 130,587.82 and 285,779.39

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Solution

The third proportional to 130,587.82 and 285,779.39 is: 625,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,587.82 : 285,779.39 = 285,779.39 : x
  2. Step 2: Convert to fraction form
    130,587.82/285,779.39 = 285,779.39/x
  3. Step 3: Cross multiply
    130,587.82x = 285,779.39 × 285,779.39
  4. Step 4: Simplify right side
    130,587.82x = 81,669,860,106.00
  5. Step 5: Solve for x
    x = 81,669,860,106.00/130,587.82
  6. Step 6: Final answer
    x = 625,401.82

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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.