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Finding the Third Proportional to 130,354.31 and 285,616.13

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Solution

The third proportional to 130,354.31 and 285,616.13 is: 625,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,354.31 : 285,616.13 = 285,616.13 : x
  2. Step 2: Convert to fraction form
    130,354.31/285,616.13 = 285,616.13/x
  3. Step 3: Cross multiply
    130,354.31x = 285,616.13 × 285,616.13
  4. Step 4: Simplify right side
    130,354.31x = 81,576,570,860.02
  5. Step 5: Solve for x
    x = 81,576,570,860.02/130,354.31
  6. Step 6: Final answer
    x = 625,806.46

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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.