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Finding the Third Proportional to 970,408,404 and 1,387,695,321

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Solution

The third proportional to 970,408,404 and 1,387,695,321 is: 1,984,420,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,408,404 : 1,387,695,321 = 1,387,695,321 : x
  2. Step 2: Convert to fraction form
    970,408,404/1,387,695,321 = 1,387,695,321/x
  3. Step 3: Cross multiply
    970,408,404x = 1,387,695,321 × 1,387,695,321
  4. Step 4: Simplify right side
    970,408,404x = 1,925,698,303,925,293,056
  5. Step 5: Solve for x
    x = 1,925,698,303,925,293,056/970,408,404
  6. Step 6: Final answer
    x = 1,984,420,472.85

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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.