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Finding the Third Proportional to 455,718 and 720,681

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Solution

The third proportional to 455,718 and 720,681 is: 1,139,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,718 : 720,681 = 720,681 : x
  2. Step 2: Convert to fraction form
    455,718/720,681 = 720,681/x
  3. Step 3: Cross multiply
    455,718x = 720,681 × 720,681
  4. Step 4: Simplify right side
    455,718x = 519,381,103,761
  5. Step 5: Solve for x
    x = 519,381,103,761/455,718
  6. Step 6: Final answer
    x = 1,139,698.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.