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Finding the Third Proportional to 171,438,970 and 258,752,783

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Solution

The third proportional to 171,438,970 and 258,752,783 is: 390,535,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438,970 : 258,752,783 = 258,752,783 : x
  2. Step 2: Convert to fraction form
    171,438,970/258,752,783 = 258,752,783/x
  3. Step 3: Cross multiply
    171,438,970x = 258,752,783 × 258,752,783
  4. Step 4: Simplify right side
    171,438,970x = 66,953,002,710,245,088
  5. Step 5: Solve for x
    x = 66,953,002,710,245,088/171,438,970
  6. Step 6: Final answer
    x = 390,535,493.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.