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Finding the Third Proportional to 688,728 and 1,510,368

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Solution

The third proportional to 688,728 and 1,510,368 is: 3,312,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,728 : 1,510,368 = 1,510,368 : x
  2. Step 2: Convert to fraction form
    688,728/1,510,368 = 1,510,368/x
  3. Step 3: Cross multiply
    688,728x = 1,510,368 × 1,510,368
  4. Step 4: Simplify right side
    688,728x = 2,281,211,495,424
  5. Step 5: Solve for x
    x = 2,281,211,495,424/688,728
  6. Step 6: Final answer
    x = 3,312,209.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.