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Finding the Third Proportional to 317,196 and 697,480

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Solution

The third proportional to 317,196 and 697,480 is: 1,533,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196 : 697,480 = 697,480 : x
  2. Step 2: Convert to fraction form
    317,196/697,480 = 697,480/x
  3. Step 3: Cross multiply
    317,196x = 697,480 × 697,480
  4. Step 4: Simplify right side
    317,196x = 486,478,350,400
  5. Step 5: Solve for x
    x = 486,478,350,400/317,196
  6. Step 6: Final answer
    x = 1,533,683.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.