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Finding the Third Proportional to 242,397 and 520,776

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Solution

The third proportional to 242,397 and 520,776 is: 1,118,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,397 : 520,776 = 520,776 : x
  2. Step 2: Convert to fraction form
    242,397/520,776 = 520,776/x
  3. Step 3: Cross multiply
    242,397x = 520,776 × 520,776
  4. Step 4: Simplify right side
    242,397x = 271,207,642,176
  5. Step 5: Solve for x
    x = 271,207,642,176/242,397
  6. Step 6: Final answer
    x = 1,118,857.26

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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.