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Finding the Third Proportional to 141,390 and 304,915

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Solution

The third proportional to 141,390 and 304,915 is: 657,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390 : 304,915 = 304,915 : x
  2. Step 2: Convert to fraction form
    141,390/304,915 = 304,915/x
  3. Step 3: Cross multiply
    141,390x = 304,915 × 304,915
  4. Step 4: Simplify right side
    141,390x = 92,973,157,225
  5. Step 5: Solve for x
    x = 92,973,157,225/141,390
  6. Step 6: Final answer
    x = 657,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.