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Finding the Third Proportional to 129,971,808 and 285,454,224

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Solution

The third proportional to 129,971,808 and 285,454,224 is: 626,936,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971,808 : 285,454,224 = 285,454,224 : x
  2. Step 2: Convert to fraction form
    129,971,808/285,454,224 = 285,454,224/x
  3. Step 3: Cross multiply
    129,971,808x = 285,454,224 × 285,454,224
  4. Step 4: Simplify right side
    129,971,808x = 81,484,113,999,442,176
  5. Step 5: Solve for x
    x = 81,484,113,999,442,176/129,971,808
  6. Step 6: Final answer
    x = 626,936,835.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.