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Finding the Third Proportional to 306,905 and 716,909

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Solution

The third proportional to 306,905 and 716,909 is: 1,674,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,905 : 716,909 = 716,909 : x
  2. Step 2: Convert to fraction form
    306,905/716,909 = 716,909/x
  3. Step 3: Cross multiply
    306,905x = 716,909 × 716,909
  4. Step 4: Simplify right side
    306,905x = 513,958,514,281
  5. Step 5: Solve for x
    x = 513,958,514,281/306,905
  6. Step 6: Final answer
    x = 1,674,650.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.