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Finding the Third Proportional to 145,570 and 217,461

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Solution

The third proportional to 145,570 and 217,461 is: 324,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570 : 217,461 = 217,461 : x
  2. Step 2: Convert to fraction form
    145,570/217,461 = 217,461/x
  3. Step 3: Cross multiply
    145,570x = 217,461 × 217,461
  4. Step 4: Simplify right side
    145,570x = 47,289,286,521
  5. Step 5: Solve for x
    x = 47,289,286,521/145,570
  6. Step 6: Final answer
    x = 324,855.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.