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Finding the Third Proportional to 145,808 and 317,968

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Solution

The third proportional to 145,808 and 317,968 is: 693,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,808 : 317,968 = 317,968 : x
  2. Step 2: Convert to fraction form
    145,808/317,968 = 317,968/x
  3. Step 3: Cross multiply
    145,808x = 317,968 × 317,968
  4. Step 4: Simplify right side
    145,808x = 101,103,649,024
  5. Step 5: Solve for x
    x = 101,103,649,024/145,808
  6. Step 6: Final answer
    x = 693,402.62

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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.