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Finding the Third Proportional to 133,388 and 291,560

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Solution

The third proportional to 133,388 and 291,560 is: 637,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,388 : 291,560 = 291,560 : x
  2. Step 2: Convert to fraction form
    133,388/291,560 = 291,560/x
  3. Step 3: Cross multiply
    133,388x = 291,560 × 291,560
  4. Step 4: Simplify right side
    133,388x = 85,007,233,600
  5. Step 5: Solve for x
    x = 85,007,233,600/133,388
  6. Step 6: Final answer
    x = 637,292.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.