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Finding the Third Proportional to 249,476 and 383,439

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Solution

The third proportional to 249,476 and 383,439 is: 589,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,476 : 383,439 = 383,439 : x
  2. Step 2: Convert to fraction form
    249,476/383,439 = 383,439/x
  3. Step 3: Cross multiply
    249,476x = 383,439 × 383,439
  4. Step 4: Simplify right side
    249,476x = 147,025,466,721
  5. Step 5: Solve for x
    x = 147,025,466,721/249,476
  6. Step 6: Final answer
    x = 589,337.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.