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Finding the Third Proportional to 142,782.75 and 307,095.75

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Solution

The third proportional to 142,782.75 and 307,095.75 is: 660,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.75 : 307,095.75 = 307,095.75 : x
  2. Step 2: Convert to fraction form
    142,782.75/307,095.75 = 307,095.75/x
  3. Step 3: Cross multiply
    142,782.75x = 307,095.75 × 307,095.75
  4. Step 4: Simplify right side
    142,782.75x = 94,307,799,668.06
  5. Step 5: Solve for x
    x = 94,307,799,668.06/142,782.75
  6. Step 6: Final answer
    x = 660,498.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.