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Finding the Third Proportional to 138,071.25 and 307,246.50

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Solution

The third proportional to 138,071.25 and 307,246.50 is: 683,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,071.25 : 307,246.50 = 307,246.50 : x
  2. Step 2: Convert to fraction form
    138,071.25/307,246.50 = 307,246.50/x
  3. Step 3: Cross multiply
    138,071.25x = 307,246.50 × 307,246.50
  4. Step 4: Simplify right side
    138,071.25x = 94,400,411,762.25
  5. Step 5: Solve for x
    x = 94,400,411,762.25/138,071.25
  6. Step 6: Final answer
    x = 683,707.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.