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Finding the Third Proportional to 89,388 and 130,365

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Solution

The third proportional to 89,388 and 130,365 is: 190,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,388 : 130,365 = 130,365 : x
  2. Step 2: Convert to fraction form
    89,388/130,365 = 130,365/x
  3. Step 3: Cross multiply
    89,388x = 130,365 × 130,365
  4. Step 4: Simplify right side
    89,388x = 16,995,033,225
  5. Step 5: Solve for x
    x = 16,995,033,225/89,388
  6. Step 6: Final answer
    x = 190,126.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.