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Finding the Third Proportional to 287,028 and 628,776

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Solution

The third proportional to 287,028 and 628,776 is: 1,377,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,028 : 628,776 = 628,776 : x
  2. Step 2: Convert to fraction form
    287,028/628,776 = 628,776/x
  3. Step 3: Cross multiply
    287,028x = 628,776 × 628,776
  4. Step 4: Simplify right side
    287,028x = 395,359,258,176
  5. Step 5: Solve for x
    x = 395,359,258,176/287,028
  6. Step 6: Final answer
    x = 1,377,424.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.