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Finding the Third Proportional to 312,208 and 464,854

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Solution

The third proportional to 312,208 and 464,854 is: 692,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,208 : 464,854 = 464,854 : x
  2. Step 2: Convert to fraction form
    312,208/464,854 = 464,854/x
  3. Step 3: Cross multiply
    312,208x = 464,854 × 464,854
  4. Step 4: Simplify right side
    312,208x = 216,089,241,316
  5. Step 5: Solve for x
    x = 216,089,241,316/312,208
  6. Step 6: Final answer
    x = 692,132.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.