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Finding the Third Proportional to 402,813 and 564,669

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Solution

The third proportional to 402,813 and 564,669 is: 791,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,813 : 564,669 = 564,669 : x
  2. Step 2: Convert to fraction form
    402,813/564,669 = 564,669/x
  3. Step 3: Cross multiply
    402,813x = 564,669 × 564,669
  4. Step 4: Simplify right side
    402,813x = 318,851,079,561
  5. Step 5: Solve for x
    x = 318,851,079,561/402,813
  6. Step 6: Final answer
    x = 791,561.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.