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Finding the Third Proportional to 455,681 and 997,178

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Solution

The third proportional to 455,681 and 997,178 is: 2,182,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,681 : 997,178 = 997,178 : x
  2. Step 2: Convert to fraction form
    455,681/997,178 = 997,178/x
  3. Step 3: Cross multiply
    455,681x = 997,178 × 997,178
  4. Step 4: Simplify right side
    455,681x = 994,363,963,684
  5. Step 5: Solve for x
    x = 994,363,963,684/455,681
  6. Step 6: Final answer
    x = 2,182,149.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.