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Finding the Third Proportional to 700,686,470 and 985,468,639

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Solution

The third proportional to 700,686,470 and 985,468,639 is: 1,385,995,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,470 : 985,468,639 = 985,468,639 : x
  2. Step 2: Convert to fraction form
    700,686,470/985,468,639 = 985,468,639/x
  3. Step 3: Cross multiply
    700,686,470x = 985,468,639 × 985,468,639
  4. Step 4: Simplify right side
    700,686,470x = 971,148,438,452,512,384
  5. Step 5: Solve for x
    x = 971,148,438,452,512,384/700,686,470
  6. Step 6: Final answer
    x = 1,385,995,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.