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Finding the Third Proportional to 289,716 and 465,354

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Solution

The third proportional to 289,716 and 465,354 is: 747,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,716 : 465,354 = 465,354 : x
  2. Step 2: Convert to fraction form
    289,716/465,354 = 465,354/x
  3. Step 3: Cross multiply
    289,716x = 465,354 × 465,354
  4. Step 4: Simplify right side
    289,716x = 216,554,345,316
  5. Step 5: Solve for x
    x = 216,554,345,316/289,716
  6. Step 6: Final answer
    x = 747,471.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.