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Finding the Third Proportional to 153,385 and 314,207

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Solution

The third proportional to 153,385 and 314,207 is: 643,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,385 : 314,207 = 314,207 : x
  2. Step 2: Convert to fraction form
    153,385/314,207 = 314,207/x
  3. Step 3: Cross multiply
    153,385x = 314,207 × 314,207
  4. Step 4: Simplify right side
    153,385x = 98,726,038,849
  5. Step 5: Solve for x
    x = 98,726,038,849/153,385
  6. Step 6: Final answer
    x = 643,648.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.