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Finding the Third Proportional to 645,984 and 991,574

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Solution

The third proportional to 645,984 and 991,574 is: 1,522,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,984 : 991,574 = 991,574 : x
  2. Step 2: Convert to fraction form
    645,984/991,574 = 991,574/x
  3. Step 3: Cross multiply
    645,984x = 991,574 × 991,574
  4. Step 4: Simplify right side
    645,984x = 983,218,997,476
  5. Step 5: Solve for x
    x = 983,218,997,476/645,984
  6. Step 6: Final answer
    x = 1,522,048.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.