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Finding the Third Proportional to 468,310 and 697,280

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Solution

The third proportional to 468,310 and 697,280 is: 1,038,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,310 : 697,280 = 697,280 : x
  2. Step 2: Convert to fraction form
    468,310/697,280 = 697,280/x
  3. Step 3: Cross multiply
    468,310x = 697,280 × 697,280
  4. Step 4: Simplify right side
    468,310x = 486,199,398,400
  5. Step 5: Solve for x
    x = 486,199,398,400/468,310
  6. Step 6: Final answer
    x = 1,038,199.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.