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Finding the Third Proportional to 146,445.47 and 317,312.44

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Solution

The third proportional to 146,445.47 and 317,312.44 is: 687,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,445.47 : 317,312.44 = 317,312.44 : x
  2. Step 2: Convert to fraction form
    146,445.47/317,312.44 = 317,312.44/x
  3. Step 3: Cross multiply
    146,445.47x = 317,312.44 × 317,312.44
  4. Step 4: Simplify right side
    146,445.47x = 100,687,182,992.19
  5. Step 5: Solve for x
    x = 100,687,182,992.19/146,445.47
  6. Step 6: Final answer
    x = 687,540.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.