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Finding the Third Proportional to 211,603,428 and 458,518,644

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Solution

The third proportional to 211,603,428 and 458,518,644 is: 993,553,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,603,428 : 458,518,644 = 458,518,644 : x
  2. Step 2: Convert to fraction form
    211,603,428/458,518,644 = 458,518,644/x
  3. Step 3: Cross multiply
    211,603,428x = 458,518,644 × 458,518,644
  4. Step 4: Simplify right side
    211,603,428x = 210,239,346,895,598,720
  5. Step 5: Solve for x
    x = 210,239,346,895,598,720/211,603,428
  6. Step 6: Final answer
    x = 993,553,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.