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Finding the Third Proportional to 243,306 and 522,572

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Solution

The third proportional to 243,306 and 522,572 is: 1,122,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,306 : 522,572 = 522,572 : x
  2. Step 2: Convert to fraction form
    243,306/522,572 = 522,572/x
  3. Step 3: Cross multiply
    243,306x = 522,572 × 522,572
  4. Step 4: Simplify right side
    243,306x = 273,081,495,184
  5. Step 5: Solve for x
    x = 273,081,495,184/243,306
  6. Step 6: Final answer
    x = 1,122,378.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.