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Finding the Third Proportional to 520,425 and 804,271.50

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Solution

The third proportional to 520,425 and 804,271.50 is: 1,242,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,425 : 804,271.50 = 804,271.50 : x
  2. Step 2: Convert to fraction form
    520,425/804,271.50 = 804,271.50/x
  3. Step 3: Cross multiply
    520,425x = 804,271.50 × 804,271.50
  4. Step 4: Simplify right side
    520,425x = 646,852,645,712.25
  5. Step 5: Solve for x
    x = 646,852,645,712.25/520,425
  6. Step 6: Final answer
    x = 1,242,931.54

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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.