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Finding the Third Proportional to 506,390 and 765,008

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Solution

The third proportional to 506,390 and 765,008 is: 1,155,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,390 : 765,008 = 765,008 : x
  2. Step 2: Convert to fraction form
    506,390/765,008 = 765,008/x
  3. Step 3: Cross multiply
    506,390x = 765,008 × 765,008
  4. Step 4: Simplify right side
    506,390x = 585,237,240,064
  5. Step 5: Solve for x
    x = 585,237,240,064/506,390
  6. Step 6: Final answer
    x = 1,155,704.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.