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Finding the Third Proportional to 145,570 and 231,475

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Solution

The third proportional to 145,570 and 231,475 is: 368,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570 : 231,475 = 231,475 : x
  2. Step 2: Convert to fraction form
    145,570/231,475 = 231,475/x
  3. Step 3: Cross multiply
    145,570x = 231,475 × 231,475
  4. Step 4: Simplify right side
    145,570x = 53,580,675,625
  5. Step 5: Solve for x
    x = 53,580,675,625/145,570
  6. Step 6: Final answer
    x = 368,074.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.