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Finding the Third Proportional to 454,281.75 and 705,411

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Solution

The third proportional to 454,281.75 and 705,411 is: 1,095,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,281.75 : 705,411 = 705,411 : x
  2. Step 2: Convert to fraction form
    454,281.75/705,411 = 705,411/x
  3. Step 3: Cross multiply
    454,281.75x = 705,411 × 705,411
  4. Step 4: Simplify right side
    454,281.75x = 497,604,678,921
  5. Step 5: Solve for x
    x = 497,604,678,921/454,281.75
  6. Step 6: Final answer
    x = 1,095,365.77

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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.