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Finding the Third Proportional to 628,860 and 974,502

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Solution

The third proportional to 628,860 and 974,502 is: 1,510,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,860 : 974,502 = 974,502 : x
  2. Step 2: Convert to fraction form
    628,860/974,502 = 974,502/x
  3. Step 3: Cross multiply
    628,860x = 974,502 × 974,502
  4. Step 4: Simplify right side
    628,860x = 949,654,148,004
  5. Step 5: Solve for x
    x = 949,654,148,004/628,860
  6. Step 6: Final answer
    x = 1,510,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.