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Finding the Third Proportional to 285,038,964 and 440,648,072

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Solution

The third proportional to 285,038,964 and 440,648,072 is: 681,207,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,038,964 : 440,648,072 = 440,648,072 : x
  2. Step 2: Convert to fraction form
    285,038,964/440,648,072 = 440,648,072/x
  3. Step 3: Cross multiply
    285,038,964x = 440,648,072 × 440,648,072
  4. Step 4: Simplify right side
    285,038,964x = 194,170,723,357,317,184
  5. Step 5: Solve for x
    x = 194,170,723,357,317,184/285,038,964
  6. Step 6: Final answer
    x = 681,207,651.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.