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Finding the Third Proportional to 187,757,030 and 380,820,154

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Solution

The third proportional to 187,757,030 and 380,820,154 is: 772,402,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,757,030 : 380,820,154 = 380,820,154 : x
  2. Step 2: Convert to fraction form
    187,757,030/380,820,154 = 380,820,154/x
  3. Step 3: Cross multiply
    187,757,030x = 380,820,154 × 380,820,154
  4. Step 4: Simplify right side
    187,757,030x = 145,023,989,692,583,712
  5. Step 5: Solve for x
    x = 145,023,989,692,583,712/187,757,030
  6. Step 6: Final answer
    x = 772,402,448.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.