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Finding the Third Proportional to 454,315 and 705,440

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Solution

The third proportional to 454,315 and 705,440 is: 1,095,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,315 : 705,440 = 705,440 : x
  2. Step 2: Convert to fraction form
    454,315/705,440 = 705,440/x
  3. Step 3: Cross multiply
    454,315x = 705,440 × 705,440
  4. Step 4: Simplify right side
    454,315x = 497,645,593,600
  5. Step 5: Solve for x
    x = 497,645,593,600/454,315
  6. Step 6: Final answer
    x = 1,095,375.66

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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.