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Finding the Third Proportional to 153,301 and 358,073

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Solution

The third proportional to 153,301 and 358,073 is: 836,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,301 : 358,073 = 358,073 : x
  2. Step 2: Convert to fraction form
    153,301/358,073 = 358,073/x
  3. Step 3: Cross multiply
    153,301x = 358,073 × 358,073
  4. Step 4: Simplify right side
    153,301x = 128,216,273,329
  5. Step 5: Solve for x
    x = 128,216,273,329/153,301
  6. Step 6: Final answer
    x = 836,369.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.