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Finding the Third Proportional to 357,417 and 769,752

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Solution

The third proportional to 357,417 and 769,752 is: 1,657,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,417 : 769,752 = 769,752 : x
  2. Step 2: Convert to fraction form
    357,417/769,752 = 769,752/x
  3. Step 3: Cross multiply
    357,417x = 769,752 × 769,752
  4. Step 4: Simplify right side
    357,417x = 592,518,141,504
  5. Step 5: Solve for x
    x = 592,518,141,504/357,417
  6. Step 6: Final answer
    x = 1,657,778.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.