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Finding the Third Proportional to 336,870 and 495,455

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Solution

The third proportional to 336,870 and 495,455 is: 728,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,870 : 495,455 = 495,455 : x
  2. Step 2: Convert to fraction form
    336,870/495,455 = 495,455/x
  3. Step 3: Cross multiply
    336,870x = 495,455 × 495,455
  4. Step 4: Simplify right side
    336,870x = 245,475,657,025
  5. Step 5: Solve for x
    x = 245,475,657,025/336,870
  6. Step 6: Final answer
    x = 728,695.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.