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Finding the Third Proportional to 318,671,401.13 and 685,770,356.63

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Solution

The third proportional to 318,671,401.13 and 685,770,356.63 is: 1,475,755,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,671,401.13 : 685,770,356.63 = 685,770,356.63 : x
  2. Step 2: Convert to fraction form
    318,671,401.13/685,770,356.63 = 685,770,356.63/x
  3. Step 3: Cross multiply
    318,671,401.13x = 685,770,356.63 × 685,770,356.63
  4. Step 4: Simplify right side
    318,671,401.13x = 470,280,982,025,579,712
  5. Step 5: Solve for x
    x = 470,280,982,025,579,712/318,671,401.13
  6. Step 6: Final answer
    x = 1,475,755,214.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.