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Finding the Third Proportional to 315,090 and 484,315

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Solution

The third proportional to 315,090 and 484,315 is: 744,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090 : 484,315 = 484,315 : x
  2. Step 2: Convert to fraction form
    315,090/484,315 = 484,315/x
  3. Step 3: Cross multiply
    315,090x = 484,315 × 484,315
  4. Step 4: Simplify right side
    315,090x = 234,561,019,225
  5. Step 5: Solve for x
    x = 234,561,019,225/315,090
  6. Step 6: Final answer
    x = 744,425.46

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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.