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Finding the Third Proportional to 52,106,140.50 and 76,643,619

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Solution

The third proportional to 52,106,140.50 and 76,643,619 is: 112,736,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,140.50 : 76,643,619 = 76,643,619 : x
  2. Step 2: Convert to fraction form
    52,106,140.50/76,643,619 = 76,643,619/x
  3. Step 3: Cross multiply
    52,106,140.50x = 76,643,619 × 76,643,619
  4. Step 4: Simplify right side
    52,106,140.50x = 5,874,244,333,417,161
  5. Step 5: Solve for x
    x = 5,874,244,333,417,161/52,106,140.50
  6. Step 6: Final answer
    x = 112,736,124.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.