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Finding the Third Proportional to 315,854,605 and 681,650,108

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Solution

The third proportional to 315,854,605 and 681,650,108 is: 1,471,078,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,854,605 : 681,650,108 = 681,650,108 : x
  2. Step 2: Convert to fraction form
    315,854,605/681,650,108 = 681,650,108/x
  3. Step 3: Cross multiply
    315,854,605x = 681,650,108 × 681,650,108
  4. Step 4: Simplify right side
    315,854,605x = 464,646,869,736,411,648
  5. Step 5: Solve for x
    x = 464,646,869,736,411,648/315,854,605
  6. Step 6: Final answer
    x = 1,471,078,345.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.