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Finding the Third Proportional to 390,130 and 582,643

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Solution

The third proportional to 390,130 and 582,643 is: 870,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,130 : 582,643 = 582,643 : x
  2. Step 2: Convert to fraction form
    390,130/582,643 = 582,643/x
  3. Step 3: Cross multiply
    390,130x = 582,643 × 582,643
  4. Step 4: Simplify right side
    390,130x = 339,472,865,449
  5. Step 5: Solve for x
    x = 339,472,865,449/390,130
  6. Step 6: Final answer
    x = 870,153.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.