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Finding the Third Proportional to 507,120 and 779,550

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Solution

The third proportional to 507,120 and 779,550 is: 1,198,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120 : 779,550 = 779,550 : x
  2. Step 2: Convert to fraction form
    507,120/779,550 = 779,550/x
  3. Step 3: Cross multiply
    507,120x = 779,550 × 779,550
  4. Step 4: Simplify right side
    507,120x = 607,698,202,500
  5. Step 5: Solve for x
    x = 607,698,202,500/507,120
  6. Step 6: Final answer
    x = 1,198,332.16

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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.