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Finding the Third Proportional to 130,609.34 and 286,905.80

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Solution

The third proportional to 130,609.34 and 286,905.80 is: 630,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,609.34 : 286,905.80 = 286,905.80 : x
  2. Step 2: Convert to fraction form
    130,609.34/286,905.80 = 286,905.80/x
  3. Step 3: Cross multiply
    130,609.34x = 286,905.80 × 286,905.80
  4. Step 4: Simplify right side
    130,609.34x = 82,314,936,280.48
  5. Step 5: Solve for x
    x = 82,314,936,280.48/130,609.34
  6. Step 6: Final answer
    x = 630,237.77

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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.