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Finding the Third Proportional to 285,724,320 and 620,157,488

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Solution

The third proportional to 285,724,320 and 620,157,488 is: 1,346,036,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,320 : 620,157,488 = 620,157,488 : x
  2. Step 2: Convert to fraction form
    285,724,320/620,157,488 = 620,157,488/x
  3. Step 3: Cross multiply
    285,724,320x = 620,157,488 × 620,157,488
  4. Step 4: Simplify right side
    285,724,320x = 384,595,309,922,470,144
  5. Step 5: Solve for x
    x = 384,595,309,922,470,144/285,724,320
  6. Step 6: Final answer
    x = 1,346,036,311.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.