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Finding the Third Proportional to 316,964,659.25 and 686,692,516

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Solution

The third proportional to 316,964,659.25 and 686,692,516 is: 1,487,694,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,964,659.25 : 686,692,516 = 686,692,516 : x
  2. Step 2: Convert to fraction form
    316,964,659.25/686,692,516 = 686,692,516/x
  3. Step 3: Cross multiply
    316,964,659.25x = 686,692,516 × 686,692,516
  4. Step 4: Simplify right side
    316,964,659.25x = 471,546,611,530,410,240
  5. Step 5: Solve for x
    x = 471,546,611,530,410,240/316,964,659.25
  6. Step 6: Final answer
    x = 1,487,694,598.65

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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.