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Finding the Third Proportional to 455,356 and 679,343

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Solution

The third proportional to 455,356 and 679,343 is: 1,013,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,356 : 679,343 = 679,343 : x
  2. Step 2: Convert to fraction form
    455,356/679,343 = 679,343/x
  3. Step 3: Cross multiply
    455,356x = 679,343 × 679,343
  4. Step 4: Simplify right side
    455,356x = 461,506,911,649
  5. Step 5: Solve for x
    x = 461,506,911,649/455,356
  6. Step 6: Final answer
    x = 1,013,507.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.