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Finding the Third Proportional to 497,742 and 765,486

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Solution

The third proportional to 497,742 and 765,486 is: 1,177,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,742 : 765,486 = 765,486 : x
  2. Step 2: Convert to fraction form
    497,742/765,486 = 765,486/x
  3. Step 3: Cross multiply
    497,742x = 765,486 × 765,486
  4. Step 4: Simplify right side
    497,742x = 585,968,816,196
  5. Step 5: Solve for x
    x = 585,968,816,196/497,742
  6. Step 6: Final answer
    x = 1,177,254.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.