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Finding the Third Proportional to 257,852,162 and 399,849,699

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Solution

The third proportional to 257,852,162 and 399,849,699 is: 620,044,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852,162 : 399,849,699 = 399,849,699 : x
  2. Step 2: Convert to fraction form
    257,852,162/399,849,699 = 399,849,699/x
  3. Step 3: Cross multiply
    257,852,162x = 399,849,699 × 399,849,699
  4. Step 4: Simplify right side
    257,852,162x = 159,879,781,790,390,592
  5. Step 5: Solve for x
    x = 159,879,781,790,390,592/257,852,162
  6. Step 6: Final answer
    x = 620,044,371.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.