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Finding the Third Proportional to 145,388 and 308,038

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Solution

The third proportional to 145,388 and 308,038 is: 652,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,388 : 308,038 = 308,038 : x
  2. Step 2: Convert to fraction form
    145,388/308,038 = 308,038/x
  3. Step 3: Cross multiply
    145,388x = 308,038 × 308,038
  4. Step 4: Simplify right side
    145,388x = 94,887,409,444
  5. Step 5: Solve for x
    x = 94,887,409,444/145,388
  6. Step 6: Final answer
    x = 652,649.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.