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Finding the Third Proportional to 406,420.50 and 624,916.50

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Solution

The third proportional to 406,420.50 and 624,916.50 is: 960,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,420.50 : 624,916.50 = 624,916.50 : x
  2. Step 2: Convert to fraction form
    406,420.50/624,916.50 = 624,916.50/x
  3. Step 3: Cross multiply
    406,420.50x = 624,916.50 × 624,916.50
  4. Step 4: Simplify right side
    406,420.50x = 390,520,631,972.25
  5. Step 5: Solve for x
    x = 390,520,631,972.25/406,420.50
  6. Step 6: Final answer
    x = 960,878.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.