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Finding the Third Proportional to 476,102,852 and 735,369,312

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Solution

The third proportional to 476,102,852 and 735,369,312 is: 1,135,821,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,102,852 : 735,369,312 = 735,369,312 : x
  2. Step 2: Convert to fraction form
    476,102,852/735,369,312 = 735,369,312/x
  3. Step 3: Cross multiply
    476,102,852x = 735,369,312 × 735,369,312
  4. Step 4: Simplify right side
    476,102,852x = 540,768,025,031,353,344
  5. Step 5: Solve for x
    x = 540,768,025,031,353,344/476,102,852
  6. Step 6: Final answer
    x = 1,135,821,856.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.