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Finding the Third Proportional to 145,577 and 308,650

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Solution

The third proportional to 145,577 and 308,650 is: 654,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577 : 308,650 = 308,650 : x
  2. Step 2: Convert to fraction form
    145,577/308,650 = 308,650/x
  3. Step 3: Cross multiply
    145,577x = 308,650 × 308,650
  4. Step 4: Simplify right side
    145,577x = 95,264,822,500
  5. Step 5: Solve for x
    x = 95,264,822,500/145,577
  6. Step 6: Final answer
    x = 654,394.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.