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Finding the Third Proportional to 147,698,080 and 321,403,962

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Solution

The third proportional to 147,698,080 and 321,403,962 is: 699,403,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,698,080 : 321,403,962 = 321,403,962 : x
  2. Step 2: Convert to fraction form
    147,698,080/321,403,962 = 321,403,962/x
  3. Step 3: Cross multiply
    147,698,080x = 321,403,962 × 321,403,962
  4. Step 4: Simplify right side
    147,698,080x = 103,300,506,789,297,440
  5. Step 5: Solve for x
    x = 103,300,506,789,297,440/147,698,080
  6. Step 6: Final answer
    x = 699,403,179.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.