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Finding the Third Proportional to 472,918.50 and 714,280.50

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Solution

The third proportional to 472,918.50 and 714,280.50 is: 1,078,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,918.50 : 714,280.50 = 714,280.50 : x
  2. Step 2: Convert to fraction form
    472,918.50/714,280.50 = 714,280.50/x
  3. Step 3: Cross multiply
    472,918.50x = 714,280.50 × 714,280.50
  4. Step 4: Simplify right side
    472,918.50x = 510,196,632,680.25
  5. Step 5: Solve for x
    x = 510,196,632,680.25/472,918.50
  6. Step 6: Final answer
    x = 1,078,825.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.