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Finding the Third Proportional to 403,612.88 and 624,916.13

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Solution

The third proportional to 403,612.88 and 624,916.13 is: 967,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,612.88 : 624,916.13 = 624,916.13 : x
  2. Step 2: Convert to fraction form
    403,612.88/624,916.13 = 624,916.13/x
  3. Step 3: Cross multiply
    403,612.88x = 624,916.13 × 624,916.13
  4. Step 4: Simplify right side
    403,612.88x = 390,520,163,285.02
  5. Step 5: Solve for x
    x = 390,520,163,285.02/403,612.88
  6. Step 6: Final answer
    x = 967,561.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.