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Finding the Third Proportional to 145,388 and 313,048

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Solution

The third proportional to 145,388 and 313,048 is: 674,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,388 : 313,048 = 313,048 : x
  2. Step 2: Convert to fraction form
    145,388/313,048 = 313,048/x
  3. Step 3: Cross multiply
    145,388x = 313,048 × 313,048
  4. Step 4: Simplify right side
    145,388x = 97,999,050,304
  5. Step 5: Solve for x
    x = 97,999,050,304/145,388
  6. Step 6: Final answer
    x = 674,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.