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Finding the Third Proportional to 147,201 and 317,730

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Solution

The third proportional to 147,201 and 317,730 is: 685,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201 : 317,730 = 317,730 : x
  2. Step 2: Convert to fraction form
    147,201/317,730 = 317,730/x
  3. Step 3: Cross multiply
    147,201x = 317,730 × 317,730
  4. Step 4: Simplify right side
    147,201x = 100,952,352,900
  5. Step 5: Solve for x
    x = 100,952,352,900/147,201
  6. Step 6: Final answer
    x = 685,812.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.