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Finding the Third Proportional to 153,448 and 334,792

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Solution

The third proportional to 153,448 and 334,792 is: 730,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,448 : 334,792 = 334,792 : x
  2. Step 2: Convert to fraction form
    153,448/334,792 = 334,792/x
  3. Step 3: Cross multiply
    153,448x = 334,792 × 334,792
  4. Step 4: Simplify right side
    153,448x = 112,085,683,264
  5. Step 5: Solve for x
    x = 112,085,683,264/153,448
  6. Step 6: Final answer
    x = 730,447.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.