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Finding the Third Proportional to 455,685 and 732,128

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Solution

The third proportional to 455,685 and 732,128 is: 1,176,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,685 : 732,128 = 732,128 : x
  2. Step 2: Convert to fraction form
    455,685/732,128 = 732,128/x
  3. Step 3: Cross multiply
    455,685x = 732,128 × 732,128
  4. Step 4: Simplify right side
    455,685x = 536,011,408,384
  5. Step 5: Solve for x
    x = 536,011,408,384/455,685
  6. Step 6: Final answer
    x = 1,176,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.