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Finding the Third Proportional to 191,971,512 and 309,137,364

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Solution

The third proportional to 191,971,512 and 309,137,364 is: 497,812,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,971,512 : 309,137,364 = 309,137,364 : x
  2. Step 2: Convert to fraction form
    191,971,512/309,137,364 = 309,137,364/x
  3. Step 3: Cross multiply
    191,971,512x = 309,137,364 × 309,137,364
  4. Step 4: Simplify right side
    191,971,512x = 95,565,909,820,868,496
  5. Step 5: Solve for x
    x = 95,565,909,820,868,496/191,971,512
  6. Step 6: Final answer
    x = 497,812,976.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.