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Finding the Third Proportional to 504,369 and 780,916.50

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Solution

The third proportional to 504,369 and 780,916.50 is: 1,209,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,369 : 780,916.50 = 780,916.50 : x
  2. Step 2: Convert to fraction form
    504,369/780,916.50 = 780,916.50/x
  3. Step 3: Cross multiply
    504,369x = 780,916.50 × 780,916.50
  4. Step 4: Simplify right side
    504,369x = 609,830,579,972.25
  5. Step 5: Solve for x
    x = 609,830,579,972.25/504,369
  6. Step 6: Final answer
    x = 1,209,096.08

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