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Finding the Third Proportional to 191,037,890 and 409,320,424

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Solution

The third proportional to 191,037,890 and 409,320,424 is: 877,015,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,890 : 409,320,424 = 409,320,424 : x
  2. Step 2: Convert to fraction form
    191,037,890/409,320,424 = 409,320,424/x
  3. Step 3: Cross multiply
    191,037,890x = 409,320,424 × 409,320,424
  4. Step 4: Simplify right side
    191,037,890x = 167,543,209,503,539,776
  5. Step 5: Solve for x
    x = 167,543,209,503,539,776/191,037,890
  6. Step 6: Final answer
    x = 877,015,598.86

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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.