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Finding the Third Proportional to 145,179 and 319,271.63

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Solution

The third proportional to 145,179 and 319,271.63 is: 702,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,179 : 319,271.63 = 319,271.63 : x
  2. Step 2: Convert to fraction form
    145,179/319,271.63 = 319,271.63/x
  3. Step 3: Cross multiply
    145,179x = 319,271.63 × 319,271.63
  4. Step 4: Simplify right side
    145,179x = 101,934,370,530.14
  5. Step 5: Solve for x
    x = 101,934,370,530.14/145,179
  6. Step 6: Final answer
    x = 702,128.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.