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Finding the Third Proportional to 448,428 and 963,420

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Solution

The third proportional to 448,428 and 963,420 is: 2,069,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,428 : 963,420 = 963,420 : x
  2. Step 2: Convert to fraction form
    448,428/963,420 = 963,420/x
  3. Step 3: Cross multiply
    448,428x = 963,420 × 963,420
  4. Step 4: Simplify right side
    448,428x = 928,178,096,400
  5. Step 5: Solve for x
    x = 928,178,096,400/448,428
  6. Step 6: Final answer
    x = 2,069,848.66

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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.