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Finding the Third Proportional to 349,830 and 549,972

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Solution

The third proportional to 349,830 and 549,972 is: 864,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,830 : 549,972 = 549,972 : x
  2. Step 2: Convert to fraction form
    349,830/549,972 = 549,972/x
  3. Step 3: Cross multiply
    349,830x = 549,972 × 549,972
  4. Step 4: Simplify right side
    349,830x = 302,469,200,784
  5. Step 5: Solve for x
    x = 302,469,200,784/349,830
  6. Step 6: Final answer
    x = 864,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.