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Finding the Third Proportional to 133,011 and 291,890.25

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Solution

The third proportional to 133,011 and 291,890.25 is: 640,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,011 : 291,890.25 = 291,890.25 : x
  2. Step 2: Convert to fraction form
    133,011/291,890.25 = 291,890.25/x
  3. Step 3: Cross multiply
    133,011x = 291,890.25 × 291,890.25
  4. Step 4: Simplify right side
    133,011x = 85,199,918,045.06
  5. Step 5: Solve for x
    x = 85,199,918,045.06/133,011
  6. Step 6: Final answer
    x = 640,547.91

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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.