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Finding the Third Proportional to 645,583.61 and 948,688.14

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Solution

The third proportional to 645,583.61 and 948,688.14 is: 1,394,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,583.61 : 948,688.14 = 948,688.14 : x
  2. Step 2: Convert to fraction form
    645,583.61/948,688.14 = 948,688.14/x
  3. Step 3: Cross multiply
    645,583.61x = 948,688.14 × 948,688.14
  4. Step 4: Simplify right side
    645,583.61x = 900,009,180,750.89
  5. Step 5: Solve for x
    x = 900,009,180,750.89/645,583.61
  6. Step 6: Final answer
    x = 1,394,101.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.