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Finding the Third Proportional to 644,929,982 and 972,740,009

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Solution

The third proportional to 644,929,982 and 972,740,009 is: 1,467,171,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,929,982 : 972,740,009 = 972,740,009 : x
  2. Step 2: Convert to fraction form
    644,929,982/972,740,009 = 972,740,009/x
  3. Step 3: Cross multiply
    644,929,982x = 972,740,009 × 972,740,009
  4. Step 4: Simplify right side
    644,929,982x = 946,223,125,109,320,064
  5. Step 5: Solve for x
    x = 946,223,125,109,320,064/644,929,982
  6. Step 6: Final answer
    x = 1,467,171,865.97

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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.