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Finding the Third Proportional to 249,478 and 383,442

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Solution

The third proportional to 249,478 and 383,442 is: 589,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,478 : 383,442 = 383,442 : x
  2. Step 2: Convert to fraction form
    249,478/383,442 = 383,442/x
  3. Step 3: Cross multiply
    249,478x = 383,442 × 383,442
  4. Step 4: Simplify right side
    249,478x = 147,027,767,364
  5. Step 5: Solve for x
    x = 147,027,767,364/249,478
  6. Step 6: Final answer
    x = 589,341.61

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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.