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Finding the Third Proportional to 358,924,960 and 780,835,520

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Solution

The third proportional to 358,924,960 and 780,835,520 is: 1,698,695,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,924,960 : 780,835,520 = 780,835,520 : x
  2. Step 2: Convert to fraction form
    358,924,960/780,835,520 = 780,835,520/x
  3. Step 3: Cross multiply
    358,924,960x = 780,835,520 × 780,835,520
  4. Step 4: Simplify right side
    358,924,960x = 609,704,109,293,670,400
  5. Step 5: Solve for x
    x = 609,704,109,293,670,400/358,924,960
  6. Step 6: Final answer
    x = 1,698,695,207.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.