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Finding the Third Proportional to 145,687.50 and 317,853

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Solution

The third proportional to 145,687.50 and 317,853 is: 693,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,687.50 : 317,853 = 317,853 : x
  2. Step 2: Convert to fraction form
    145,687.50/317,853 = 317,853/x
  3. Step 3: Cross multiply
    145,687.50x = 317,853 × 317,853
  4. Step 4: Simplify right side
    145,687.50x = 101,030,529,609
  5. Step 5: Solve for x
    x = 101,030,529,609/145,687.50
  6. Step 6: Final answer
    x = 693,474.25

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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.