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Finding the Third Proportional to 145,156.88 and 313,668.38

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Solution

The third proportional to 145,156.88 and 313,668.38 is: 677,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,156.88 : 313,668.38 = 313,668.38 : x
  2. Step 2: Convert to fraction form
    145,156.88/313,668.38 = 313,668.38/x
  3. Step 3: Cross multiply
    145,156.88x = 313,668.38 × 313,668.38
  4. Step 4: Simplify right side
    145,156.88x = 98,387,849,475.14
  5. Step 5: Solve for x
    x = 98,387,849,475.14/145,156.88
  6. Step 6: Final answer
    x = 677,803.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.