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Finding the Third Proportional to 358,924,950 and 780,835,500

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Solution

The third proportional to 358,924,950 and 780,835,500 is: 1,698,695,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,924,950 : 780,835,500 = 780,835,500 : x
  2. Step 2: Convert to fraction form
    358,924,950/780,835,500 = 780,835,500/x
  3. Step 3: Cross multiply
    358,924,950x = 780,835,500 × 780,835,500
  4. Step 4: Simplify right side
    358,924,950x = 609,704,078,060,249,984
  5. Step 5: Solve for x
    x = 609,704,078,060,249,984/358,924,950
  6. Step 6: Final answer
    x = 1,698,695,167.50

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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.