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Finding the Third Proportional to 304,420 and 477,528

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Solution

The third proportional to 304,420 and 477,528 is: 749,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,420 : 477,528 = 477,528 : x
  2. Step 2: Convert to fraction form
    304,420/477,528 = 477,528/x
  3. Step 3: Cross multiply
    304,420x = 477,528 × 477,528
  4. Step 4: Simplify right side
    304,420x = 228,032,990,784
  5. Step 5: Solve for x
    x = 228,032,990,784/304,420
  6. Step 6: Final answer
    x = 749,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.