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Finding the Third Proportional to 261,250 and 390,861

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Solution

The third proportional to 261,250 and 390,861 is: 584,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,250 : 390,861 = 390,861 : x
  2. Step 2: Convert to fraction form
    261,250/390,861 = 390,861/x
  3. Step 3: Cross multiply
    261,250x = 390,861 × 390,861
  4. Step 4: Simplify right side
    261,250x = 152,772,321,321
  5. Step 5: Solve for x
    x = 152,772,321,321/261,250
  6. Step 6: Final answer
    x = 584,774.44

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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.