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Finding the Third Proportional to 99,985,254 and 155,823,561

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Solution

The third proportional to 99,985,254 and 155,823,561 is: 242,845,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,985,254 : 155,823,561 = 155,823,561 : x
  2. Step 2: Convert to fraction form
    99,985,254/155,823,561 = 155,823,561/x
  3. Step 3: Cross multiply
    99,985,254x = 155,823,561 × 155,823,561
  4. Step 4: Simplify right side
    99,985,254x = 24,280,982,162,720,720
  5. Step 5: Solve for x
    x = 24,280,982,162,720,720/99,985,254
  6. Step 6: Final answer
    x = 242,845,631.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.