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Finding the Third Proportional to 32,122,386 and 48,936,424.50

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Solution

The third proportional to 32,122,386 and 48,936,424.50 is: 74,551,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122,386 : 48,936,424.50 = 48,936,424.50 : x
  2. Step 2: Convert to fraction form
    32,122,386/48,936,424.50 = 48,936,424.50/x
  3. Step 3: Cross multiply
    32,122,386x = 48,936,424.50 × 48,936,424.50
  4. Step 4: Simplify right side
    32,122,386x = 2,394,773,642,844,200
  5. Step 5: Solve for x
    x = 2,394,773,642,844,200/32,122,386
  6. Step 6: Final answer
    x = 74,551,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.