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Finding the Third Proportional to 294,658,479 and 641,630,688

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Solution

The third proportional to 294,658,479 and 641,630,688 is: 1,397,176,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658,479 : 641,630,688 = 641,630,688 : x
  2. Step 2: Convert to fraction form
    294,658,479/641,630,688 = 641,630,688/x
  3. Step 3: Cross multiply
    294,658,479x = 641,630,688 × 641,630,688
  4. Step 4: Simplify right side
    294,658,479x = 411,689,939,783,353,344
  5. Step 5: Solve for x
    x = 411,689,939,783,353,344/294,658,479
  6. Step 6: Final answer
    x = 1,397,176,626.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.