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Finding the Third Proportional to 553,691 and 867,442

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Solution

The third proportional to 553,691 and 867,442 is: 1,358,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,691 : 867,442 = 867,442 : x
  2. Step 2: Convert to fraction form
    553,691/867,442 = 867,442/x
  3. Step 3: Cross multiply
    553,691x = 867,442 × 867,442
  4. Step 4: Simplify right side
    553,691x = 752,455,623,364
  5. Step 5: Solve for x
    x = 752,455,623,364/553,691
  6. Step 6: Final answer
    x = 1,358,981.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.