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Finding the Third Proportional to 249,740 and 382,944

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Solution

The third proportional to 249,740 and 382,944 is: 587,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,740 : 382,944 = 382,944 : x
  2. Step 2: Convert to fraction form
    249,740/382,944 = 382,944/x
  3. Step 3: Cross multiply
    249,740x = 382,944 × 382,944
  4. Step 4: Simplify right side
    249,740x = 146,646,107,136
  5. Step 5: Solve for x
    x = 146,646,107,136/249,740
  6. Step 6: Final answer
    x = 587,195.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.