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Finding the Third Proportional to 314,318 and 487,083

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Solution

The third proportional to 314,318 and 487,083 is: 754,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,318 : 487,083 = 487,083 : x
  2. Step 2: Convert to fraction form
    314,318/487,083 = 487,083/x
  3. Step 3: Cross multiply
    314,318x = 487,083 × 487,083
  4. Step 4: Simplify right side
    314,318x = 237,249,848,889
  5. Step 5: Solve for x
    x = 237,249,848,889/314,318
  6. Step 6: Final answer
    x = 754,808.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.