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Finding the Third Proportional to 110,912,477.50 and 172,417,114.50

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Solution

The third proportional to 110,912,477.50 and 172,417,114.50 is: 268,028,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,912,477.50 : 172,417,114.50 = 172,417,114.50 : x
  2. Step 2: Convert to fraction form
    110,912,477.50/172,417,114.50 = 172,417,114.50/x
  3. Step 3: Cross multiply
    110,912,477.50x = 172,417,114.50 × 172,417,114.50
  4. Step 4: Simplify right side
    110,912,477.50x = 29,727,661,372,506,112
  5. Step 5: Solve for x
    x = 29,727,661,372,506,112/110,912,477.50
  6. Step 6: Final answer
    x = 268,028,106.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.