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Finding the Third Proportional to 302,700 and 648,864

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Solution

The third proportional to 302,700 and 648,864 is: 1,390,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700 : 648,864 = 648,864 : x
  2. Step 2: Convert to fraction form
    302,700/648,864 = 648,864/x
  3. Step 3: Cross multiply
    302,700x = 648,864 × 648,864
  4. Step 4: Simplify right side
    302,700x = 421,024,490,496
  5. Step 5: Solve for x
    x = 421,024,490,496/302,700
  6. Step 6: Final answer
    x = 1,390,896.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.