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Finding the Third Proportional to 612,990,180 and 918,586,332

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Solution

The third proportional to 612,990,180 and 918,586,332 is: 1,376,532,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,990,180 : 918,586,332 = 918,586,332 : x
  2. Step 2: Convert to fraction form
    612,990,180/918,586,332 = 918,586,332/x
  3. Step 3: Cross multiply
    612,990,180x = 918,586,332 × 918,586,332
  4. Step 4: Simplify right side
    612,990,180x = 843,800,849,337,214,208
  5. Step 5: Solve for x
    x = 843,800,849,337,214,208/612,990,180
  6. Step 6: Final answer
    x = 1,376,532,409.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.