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Finding the Third Proportional to 290,711,545 and 446,844,488

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Solution

The third proportional to 290,711,545 and 446,844,488 is: 686,832,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711,545 : 446,844,488 = 446,844,488 : x
  2. Step 2: Convert to fraction form
    290,711,545/446,844,488 = 446,844,488/x
  3. Step 3: Cross multiply
    290,711,545x = 446,844,488 × 446,844,488
  4. Step 4: Simplify right side
    290,711,545x = 199,669,996,455,982,144
  5. Step 5: Solve for x
    x = 199,669,996,455,982,144/290,711,545
  6. Step 6: Final answer
    x = 686,832,015.76

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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.