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Finding the Third Proportional to 317,593,804 and 687,949,280

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Solution

The third proportional to 317,593,804 and 687,949,280 is: 1,490,187,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,593,804 : 687,949,280 = 687,949,280 : x
  2. Step 2: Convert to fraction form
    317,593,804/687,949,280 = 687,949,280/x
  3. Step 3: Cross multiply
    317,593,804x = 687,949,280 × 687,949,280
  4. Step 4: Simplify right side
    317,593,804x = 473,274,211,852,518,400
  5. Step 5: Solve for x
    x = 473,274,211,852,518,400/317,593,804
  6. Step 6: Final answer
    x = 1,490,187,169.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.