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Finding the Third Proportional to 284,428 and 611,028

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Solution

The third proportional to 284,428 and 611,028 is: 1,312,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,428 : 611,028 = 611,028 : x
  2. Step 2: Convert to fraction form
    284,428/611,028 = 611,028/x
  3. Step 3: Cross multiply
    284,428x = 611,028 × 611,028
  4. Step 4: Simplify right side
    284,428x = 373,355,216,784
  5. Step 5: Solve for x
    x = 373,355,216,784/284,428
  6. Step 6: Final answer
    x = 1,312,652.82

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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.