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Finding the Third Proportional to 286,172,984 and 620,739,760

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Solution

The third proportional to 286,172,984 and 620,739,760 is: 1,346,450,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,172,984 : 620,739,760 = 620,739,760 : x
  2. Step 2: Convert to fraction form
    286,172,984/620,739,760 = 620,739,760/x
  3. Step 3: Cross multiply
    286,172,984x = 620,739,760 × 620,739,760
  4. Step 4: Simplify right side
    286,172,984x = 385,317,849,644,857,600
  5. Step 5: Solve for x
    x = 385,317,849,644,857,600/286,172,984
  6. Step 6: Final answer
    x = 1,346,450,822.36

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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.