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Finding the Third Proportional to 288,069,120 and 630,778,248

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Solution

The third proportional to 288,069,120 and 630,778,248 is: 1,381,200,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069,120 : 630,778,248 = 630,778,248 : x
  2. Step 2: Convert to fraction form
    288,069,120/630,778,248 = 630,778,248/x
  3. Step 3: Cross multiply
    288,069,120x = 630,778,248 × 630,778,248
  4. Step 4: Simplify right side
    288,069,120x = 397,881,198,149,949,504
  5. Step 5: Solve for x
    x = 397,881,198,149,949,504/288,069,120
  6. Step 6: Final answer
    x = 1,381,200,449.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.