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Finding the Third Proportional to 245,416 and 513,066

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Solution

The third proportional to 245,416 and 513,066 is: 1,072,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,416 : 513,066 = 513,066 : x
  2. Step 2: Convert to fraction form
    245,416/513,066 = 513,066/x
  3. Step 3: Cross multiply
    245,416x = 513,066 × 513,066
  4. Step 4: Simplify right side
    245,416x = 263,236,720,356
  5. Step 5: Solve for x
    x = 263,236,720,356/245,416
  6. Step 6: Final answer
    x = 1,072,614.34

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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.