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Finding the Third Proportional to 317,594,797.75 and 687,951,771.50

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Solution

The third proportional to 317,594,797.75 and 687,951,771.50 is: 1,490,193,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594,797.75 : 687,951,771.50 = 687,951,771.50 : x
  2. Step 2: Convert to fraction form
    317,594,797.75/687,951,771.50 = 687,951,771.50/x
  3. Step 3: Cross multiply
    317,594,797.75x = 687,951,771.50 × 687,951,771.50
  4. Step 4: Simplify right side
    317,594,797.75x = 473,277,639,909,988,224
  5. Step 5: Solve for x
    x = 473,277,639,909,988,224/317,594,797.75
  6. Step 6: Final answer
    x = 1,490,193,300.59

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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.