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Finding the Third Proportional to 440,369,898.75 and 699,608,512.13

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Solution

The third proportional to 440,369,898.75 and 699,608,512.13 is: 1,111,456,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,369,898.75 : 699,608,512.13 = 699,608,512.13 : x
  2. Step 2: Convert to fraction form
    440,369,898.75/699,608,512.13 = 699,608,512.13/x
  3. Step 3: Cross multiply
    440,369,898.75x = 699,608,512.13 × 699,608,512.13
  4. Step 4: Simplify right side
    440,369,898.75x = 489,452,070,237,756,288
  5. Step 5: Solve for x
    x = 489,452,070,237,756,288/440,369,898.75
  6. Step 6: Final answer
    x = 1,111,456,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.