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Finding the Third Proportional to 140,764 and 306,776

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Solution

The third proportional to 140,764 and 306,776 is: 668,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,764 : 306,776 = 306,776 : x
  2. Step 2: Convert to fraction form
    140,764/306,776 = 306,776/x
  3. Step 3: Cross multiply
    140,764x = 306,776 × 306,776
  4. Step 4: Simplify right side
    140,764x = 94,111,514,176
  5. Step 5: Solve for x
    x = 94,111,514,176/140,764
  6. Step 6: Final answer
    x = 668,576.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.