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Finding the Third Proportional to 131,068.75 and 286,668.50

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Solution

The third proportional to 131,068.75 and 286,668.50 is: 626,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,068.75 : 286,668.50 = 286,668.50 : x
  2. Step 2: Convert to fraction form
    131,068.75/286,668.50 = 286,668.50/x
  3. Step 3: Cross multiply
    131,068.75x = 286,668.50 × 286,668.50
  4. Step 4: Simplify right side
    131,068.75x = 82,178,828,892.25
  5. Step 5: Solve for x
    x = 82,178,828,892.25/131,068.75
  6. Step 6: Final answer
    x = 626,990.25

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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.