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Finding the Third Proportional to 249,435 and 387,018

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Solution

The third proportional to 249,435 and 387,018 is: 600,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,435 : 387,018 = 387,018 : x
  2. Step 2: Convert to fraction form
    249,435/387,018 = 387,018/x
  3. Step 3: Cross multiply
    249,435x = 387,018 × 387,018
  4. Step 4: Simplify right side
    249,435x = 149,782,932,324
  5. Step 5: Solve for x
    x = 149,782,932,324/249,435
  6. Step 6: Final answer
    x = 600,488.83

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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.