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Finding the Third Proportional to 688,488 and 1,063,368

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Solution

The third proportional to 688,488 and 1,063,368 is: 1,642,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,488 : 1,063,368 = 1,063,368 : x
  2. Step 2: Convert to fraction form
    688,488/1,063,368 = 1,063,368/x
  3. Step 3: Cross multiply
    688,488x = 1,063,368 × 1,063,368
  4. Step 4: Simplify right side
    688,488x = 1,130,751,503,424
  5. Step 5: Solve for x
    x = 1,130,751,503,424/688,488
  6. Step 6: Final answer
    x = 1,642,369.23

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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.