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Finding the Third Proportional to 315,854,025 and 681,648,978

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Solution

The third proportional to 315,854,025 and 681,648,978 is: 1,471,076,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,854,025 : 681,648,978 = 681,648,978 : x
  2. Step 2: Convert to fraction form
    315,854,025/681,648,978 = 681,648,978/x
  3. Step 3: Cross multiply
    315,854,025x = 681,648,978 × 681,648,978
  4. Step 4: Simplify right side
    315,854,025x = 464,645,329,208,444,480
  5. Step 5: Solve for x
    x = 464,645,329,208,444,480/315,854,025
  6. Step 6: Final answer
    x = 1,471,076,169.47

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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.