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Finding the Third Proportional to 131,674,689 and 286,529,445

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Solution

The third proportional to 131,674,689 and 286,529,445 is: 623,499,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674,689 : 286,529,445 = 286,529,445 : x
  2. Step 2: Convert to fraction form
    131,674,689/286,529,445 = 286,529,445/x
  3. Step 3: Cross multiply
    131,674,689x = 286,529,445 × 286,529,445
  4. Step 4: Simplify right side
    131,674,689x = 82,099,122,852,008,032
  5. Step 5: Solve for x
    x = 82,099,122,852,008,032/131,674,689
  6. Step 6: Final answer
    x = 623,499,652.63

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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.