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Finding the Third Proportional to 64,167,977 and 138,564,819

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Solution

The third proportional to 64,167,977 and 138,564,819 is: 299,217,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,977 : 138,564,819 = 138,564,819 : x
  2. Step 2: Convert to fraction form
    64,167,977/138,564,819 = 138,564,819/x
  3. Step 3: Cross multiply
    64,167,977x = 138,564,819 × 138,564,819
  4. Step 4: Simplify right side
    64,167,977x = 19,200,209,064,502,760
  5. Step 5: Solve for x
    x = 19,200,209,064,502,760/64,167,977
  6. Step 6: Final answer
    x = 299,217,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.