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Finding the Third Proportional to 133,386 and 291,556

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Solution

The third proportional to 133,386 and 291,556 is: 637,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,386 : 291,556 = 291,556 : x
  2. Step 2: Convert to fraction form
    133,386/291,556 = 291,556/x
  3. Step 3: Cross multiply
    133,386x = 291,556 × 291,556
  4. Step 4: Simplify right side
    133,386x = 85,004,901,136
  5. Step 5: Solve for x
    x = 85,004,901,136/133,386
  6. Step 6: Final answer
    x = 637,285.03

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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.