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Finding the Third Proportional to 287,504 and 614,428

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Solution

The third proportional to 287,504 and 614,428 is: 1,313,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,504 : 614,428 = 614,428 : x
  2. Step 2: Convert to fraction form
    287,504/614,428 = 614,428/x
  3. Step 3: Cross multiply
    287,504x = 614,428 × 614,428
  4. Step 4: Simplify right side
    287,504x = 377,521,767,184
  5. Step 5: Solve for x
    x = 377,521,767,184/287,504
  6. Step 6: Final answer
    x = 1,313,100.92

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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.