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Finding the Third Proportional to 358,814 and 555,586

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Solution

The third proportional to 358,814 and 555,586 is: 860,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,814 : 555,586 = 555,586 : x
  2. Step 2: Convert to fraction form
    358,814/555,586 = 555,586/x
  3. Step 3: Cross multiply
    358,814x = 555,586 × 555,586
  4. Step 4: Simplify right side
    358,814x = 308,675,803,396
  5. Step 5: Solve for x
    x = 308,675,803,396/358,814
  6. Step 6: Final answer
    x = 860,266.89

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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.