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Finding the Third Proportional to 145,264.72 and 313,870.97

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Solution

The third proportional to 145,264.72 and 313,870.97 is: 678,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.72 : 313,870.97 = 313,870.97 : x
  2. Step 2: Convert to fraction form
    145,264.72/313,870.97 = 313,870.97/x
  3. Step 3: Cross multiply
    145,264.72x = 313,870.97 × 313,870.97
  4. Step 4: Simplify right side
    145,264.72x = 98,514,983,184.98
  5. Step 5: Solve for x
    x = 98,514,983,184.98/145,264.72
  6. Step 6: Final answer
    x = 678,175.56

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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.