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Finding the Third Proportional to 130,390 and 285,693

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Solution

The third proportional to 130,390 and 285,693 is: 625,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,390 : 285,693 = 285,693 : x
  2. Step 2: Convert to fraction form
    130,390/285,693 = 285,693/x
  3. Step 3: Cross multiply
    130,390x = 285,693 × 285,693
  4. Step 4: Simplify right side
    130,390x = 81,620,490,249
  5. Step 5: Solve for x
    x = 81,620,490,249/130,390
  6. Step 6: Final answer
    x = 625,972.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.