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Finding the Third Proportional to 402,852 and 564,688

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Solution

The third proportional to 402,852 and 564,688 is: 791,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,852 : 564,688 = 564,688 : x
  2. Step 2: Convert to fraction form
    402,852/564,688 = 564,688/x
  3. Step 3: Cross multiply
    402,852x = 564,688 × 564,688
  4. Step 4: Simplify right side
    402,852x = 318,872,537,344
  5. Step 5: Solve for x
    x = 318,872,537,344/402,852
  6. Step 6: Final answer
    x = 791,537.68

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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.