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Finding the Third Proportional to 130,315 and 285,545

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Solution

The third proportional to 130,315 and 285,545 is: 625,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,315 : 285,545 = 285,545 : x
  2. Step 2: Convert to fraction form
    130,315/285,545 = 285,545/x
  3. Step 3: Cross multiply
    130,315x = 285,545 × 285,545
  4. Step 4: Simplify right side
    130,315x = 81,535,947,025
  5. Step 5: Solve for x
    x = 81,535,947,025/130,315
  6. Step 6: Final answer
    x = 625,683.51

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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.