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Finding the Third Proportional to 152,020 and 223,453

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Solution

The third proportional to 152,020 and 223,453 is: 328,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,020 : 223,453 = 223,453 : x
  2. Step 2: Convert to fraction form
    152,020/223,453 = 223,453/x
  3. Step 3: Cross multiply
    152,020x = 223,453 × 223,453
  4. Step 4: Simplify right side
    152,020x = 49,931,243,209
  5. Step 5: Solve for x
    x = 49,931,243,209/152,020
  6. Step 6: Final answer
    x = 328,451.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.