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Finding the Third Proportional to 245,133 and 512,730

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Solution

The third proportional to 245,133 and 512,730 is: 1,072,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,133 : 512,730 = 512,730 : x
  2. Step 2: Convert to fraction form
    245,133/512,730 = 512,730/x
  3. Step 3: Cross multiply
    245,133x = 512,730 × 512,730
  4. Step 4: Simplify right side
    245,133x = 262,892,052,900
  5. Step 5: Solve for x
    x = 262,892,052,900/245,133
  6. Step 6: Final answer
    x = 1,072,446.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.