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Finding the Third Proportional to 319,949,981 and 477,828,367

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Solution

The third proportional to 319,949,981 and 477,828,367 is: 713,611,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,949,981 : 477,828,367 = 477,828,367 : x
  2. Step 2: Convert to fraction form
    319,949,981/477,828,367 = 477,828,367/x
  3. Step 3: Cross multiply
    319,949,981x = 477,828,367 × 477,828,367
  4. Step 4: Simplify right side
    319,949,981x = 228,319,948,309,886,688
  5. Step 5: Solve for x
    x = 228,319,948,309,886,688/319,949,981
  6. Step 6: Final answer
    x = 713,611,382.62

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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.