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Finding the Third Proportional to 130,613 and 286,913

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Solution

The third proportional to 130,613 and 286,913 is: 630,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,613 : 286,913 = 286,913 : x
  2. Step 2: Convert to fraction form
    130,613/286,913 = 286,913/x
  3. Step 3: Cross multiply
    130,613x = 286,913 × 286,913
  4. Step 4: Simplify right side
    130,613x = 82,319,069,569
  5. Step 5: Solve for x
    x = 82,319,069,569/130,613
  6. Step 6: Final answer
    x = 630,251.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.