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Finding the Third Proportional to 561,438 and 841,428

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Solution

The third proportional to 561,438 and 841,428 is: 1,261,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,438 : 841,428 = 841,428 : x
  2. Step 2: Convert to fraction form
    561,438/841,428 = 841,428/x
  3. Step 3: Cross multiply
    561,438x = 841,428 × 841,428
  4. Step 4: Simplify right side
    561,438x = 708,001,079,184
  5. Step 5: Solve for x
    x = 708,001,079,184/561,438
  6. Step 6: Final answer
    x = 1,261,049.45

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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.