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Finding the Third Proportional to 242,820 and 529,928

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Solution

The third proportional to 242,820 and 529,928 is: 1,156,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820 : 529,928 = 529,928 : x
  2. Step 2: Convert to fraction form
    242,820/529,928 = 529,928/x
  3. Step 3: Cross multiply
    242,820x = 529,928 × 529,928
  4. Step 4: Simplify right side
    242,820x = 280,823,685,184
  5. Step 5: Solve for x
    x = 280,823,685,184/242,820
  6. Step 6: Final answer
    x = 1,156,509.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.