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Finding the Third Proportional to 448,724,174.63 and 689,295,274.88

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Solution

The third proportional to 448,724,174.63 and 689,295,274.88 is: 1,058,841,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,174.63 : 689,295,274.88 = 689,295,274.88 : x
  2. Step 2: Convert to fraction form
    448,724,174.63/689,295,274.88 = 689,295,274.88/x
  3. Step 3: Cross multiply
    448,724,174.63x = 689,295,274.88 × 689,295,274.88
  4. Step 4: Simplify right side
    448,724,174.63x = 475,127,975,965,001,792
  5. Step 5: Solve for x
    x = 475,127,975,965,001,792/448,724,174.63
  6. Step 6: Final answer
    x = 1,058,841,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.