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Finding the Third Proportional to 145,415 and 317,894

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Solution

The third proportional to 145,415 and 317,894 is: 694,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,415 : 317,894 = 317,894 : x
  2. Step 2: Convert to fraction form
    145,415/317,894 = 317,894/x
  3. Step 3: Cross multiply
    145,415x = 317,894 × 317,894
  4. Step 4: Simplify right side
    145,415x = 101,056,595,236
  5. Step 5: Solve for x
    x = 101,056,595,236/145,415
  6. Step 6: Final answer
    x = 694,953.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.