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Finding the Third Proportional to 438,032 and 910,931.50

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Solution

The third proportional to 438,032 and 910,931.50 is: 1,894,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,032 : 910,931.50 = 910,931.50 : x
  2. Step 2: Convert to fraction form
    438,032/910,931.50 = 910,931.50/x
  3. Step 3: Cross multiply
    438,032x = 910,931.50 × 910,931.50
  4. Step 4: Simplify right side
    438,032x = 829,796,197,692.25
  5. Step 5: Solve for x
    x = 829,796,197,692.25/438,032
  6. Step 6: Final answer
    x = 1,894,373.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.