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Finding the Third Proportional to 420,210,536 and 671,295,322

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Solution

The third proportional to 420,210,536 and 671,295,322 is: 1,072,408,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,210,536 : 671,295,322 = 671,295,322 : x
  2. Step 2: Convert to fraction form
    420,210,536/671,295,322 = 671,295,322/x
  3. Step 3: Cross multiply
    420,210,536x = 671,295,322 × 671,295,322
  4. Step 4: Simplify right side
    420,210,536x = 450,637,409,339,083,712
  5. Step 5: Solve for x
    x = 450,637,409,339,083,712/420,210,536
  6. Step 6: Final answer
    x = 1,072,408,639.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.