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Finding the Third Proportional to 575,600 and 871,428

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Solution

The third proportional to 575,600 and 871,428 is: 1,319,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,600 : 871,428 = 871,428 : x
  2. Step 2: Convert to fraction form
    575,600/871,428 = 871,428/x
  3. Step 3: Cross multiply
    575,600x = 871,428 × 871,428
  4. Step 4: Simplify right side
    575,600x = 759,386,759,184
  5. Step 5: Solve for x
    x = 759,386,759,184/575,600
  6. Step 6: Final answer
    x = 1,319,295.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.