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Finding the Third Proportional to 261,294 and 390,921

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Solution

The third proportional to 261,294 and 390,921 is: 584,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,294 : 390,921 = 390,921 : x
  2. Step 2: Convert to fraction form
    261,294/390,921 = 390,921/x
  3. Step 3: Cross multiply
    261,294x = 390,921 × 390,921
  4. Step 4: Simplify right side
    261,294x = 152,819,228,241
  5. Step 5: Solve for x
    x = 152,819,228,241/261,294
  6. Step 6: Final answer
    x = 584,855.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.