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Finding the Third Proportional to 982,428 and 1,477,287

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Solution

The third proportional to 982,428 and 1,477,287 is: 2,221,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,428 : 1,477,287 = 1,477,287 : x
  2. Step 2: Convert to fraction form
    982,428/1,477,287 = 1,477,287/x
  3. Step 3: Cross multiply
    982,428x = 1,477,287 × 1,477,287
  4. Step 4: Simplify right side
    982,428x = 2,182,376,880,369
  5. Step 5: Solve for x
    x = 2,182,376,880,369/982,428
  6. Step 6: Final answer
    x = 2,221,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.