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Finding the Third Proportional to 329,984,066 and 687,070,516

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Solution

The third proportional to 329,984,066 and 687,070,516 is: 1,430,571,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984,066 : 687,070,516 = 687,070,516 : x
  2. Step 2: Convert to fraction form
    329,984,066/687,070,516 = 687,070,516/x
  3. Step 3: Cross multiply
    329,984,066x = 687,070,516 × 687,070,516
  4. Step 4: Simplify right side
    329,984,066x = 472,065,893,956,506,240
  5. Step 5: Solve for x
    x = 472,065,893,956,506,240/329,984,066
  6. Step 6: Final answer
    x = 1,430,571,783.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.