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Finding the Third Proportional to 288,059,457 and 411,630,322.50

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Solution

The third proportional to 288,059,457 and 411,630,322.50 is: 588,210,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059,457 : 411,630,322.50 = 411,630,322.50 : x
  2. Step 2: Convert to fraction form
    288,059,457/411,630,322.50 = 411,630,322.50/x
  3. Step 3: Cross multiply
    288,059,457x = 411,630,322.50 × 411,630,322.50
  4. Step 4: Simplify right side
    288,059,457x = 169,439,522,401,454,016
  5. Step 5: Solve for x
    x = 169,439,522,401,454,016/288,059,457
  6. Step 6: Final answer
    x = 588,210,240.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.