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Finding the Third Proportional to 202,862.50 and 315,776

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Solution

The third proportional to 202,862.50 and 315,776 is: 491,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862.50 : 315,776 = 315,776 : x
  2. Step 2: Convert to fraction form
    202,862.50/315,776 = 315,776/x
  3. Step 3: Cross multiply
    202,862.50x = 315,776 × 315,776
  4. Step 4: Simplify right side
    202,862.50x = 99,714,482,176
  5. Step 5: Solve for x
    x = 99,714,482,176/202,862.50
  6. Step 6: Final answer
    x = 491,537.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.