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Finding the Third Proportional to 429,630 and 631,284

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Solution

The third proportional to 429,630 and 631,284 is: 927,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,630 : 631,284 = 631,284 : x
  2. Step 2: Convert to fraction form
    429,630/631,284 = 631,284/x
  3. Step 3: Cross multiply
    429,630x = 631,284 × 631,284
  4. Step 4: Simplify right side
    429,630x = 398,519,488,656
  5. Step 5: Solve for x
    x = 398,519,488,656/429,630
  6. Step 6: Final answer
    x = 927,587.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.