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Finding the Third Proportional to 249,062 and 389,145

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Solution

The third proportional to 249,062 and 389,145 is: 608,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,062 : 389,145 = 389,145 : x
  2. Step 2: Convert to fraction form
    249,062/389,145 = 389,145/x
  3. Step 3: Cross multiply
    249,062x = 389,145 × 389,145
  4. Step 4: Simplify right side
    249,062x = 151,433,831,025
  5. Step 5: Solve for x
    x = 151,433,831,025/249,062
  6. Step 6: Final answer
    x = 608,016.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.