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Finding the Third Proportional to 242,580 and 510,288

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Solution

The third proportional to 242,580 and 510,288 is: 1,073,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,580 : 510,288 = 510,288 : x
  2. Step 2: Convert to fraction form
    242,580/510,288 = 510,288/x
  3. Step 3: Cross multiply
    242,580x = 510,288 × 510,288
  4. Step 4: Simplify right side
    242,580x = 260,393,842,944
  5. Step 5: Solve for x
    x = 260,393,842,944/242,580
  6. Step 6: Final answer
    x = 1,073,434.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.