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Finding the Third Proportional to 688,203 and 1,487,106

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Solution

The third proportional to 688,203 and 1,487,106 is: 3,213,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,203 : 1,487,106 = 1,487,106 : x
  2. Step 2: Convert to fraction form
    688,203/1,487,106 = 1,487,106/x
  3. Step 3: Cross multiply
    688,203x = 1,487,106 × 1,487,106
  4. Step 4: Simplify right side
    688,203x = 2,211,484,255,236
  5. Step 5: Solve for x
    x = 2,211,484,255,236/688,203
  6. Step 6: Final answer
    x = 3,213,418.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.