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Finding the Third Proportional to 308,562,108.75 and 658,971,500.63

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Solution

The third proportional to 308,562,108.75 and 658,971,500.63 is: 1,407,312,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,562,108.75 : 658,971,500.63 = 658,971,500.63 : x
  2. Step 2: Convert to fraction form
    308,562,108.75/658,971,500.63 = 658,971,500.63/x
  3. Step 3: Cross multiply
    308,562,108.75x = 658,971,500.63 × 658,971,500.63
  4. Step 4: Simplify right side
    308,562,108.75x = 434,243,438,635,964,352
  5. Step 5: Solve for x
    x = 434,243,438,635,964,352/308,562,108.75
  6. Step 6: Final answer
    x = 1,407,312,908.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.