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Finding the Third Proportional to 690,000 and 1,030,752

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Solution

The third proportional to 690,000 and 1,030,752 is: 1,539,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,000 : 1,030,752 = 1,030,752 : x
  2. Step 2: Convert to fraction form
    690,000/1,030,752 = 1,030,752/x
  3. Step 3: Cross multiply
    690,000x = 1,030,752 × 1,030,752
  4. Step 4: Simplify right side
    690,000x = 1,062,449,685,504
  5. Step 5: Solve for x
    x = 1,062,449,685,504/690,000
  6. Step 6: Final answer
    x = 1,539,782.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.