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Finding the Third Proportional to 42,735,663 and 100,780,924.50

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Solution

The third proportional to 42,735,663 and 100,780,924.50 is: 237,665,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735,663 : 100,780,924.50 = 100,780,924.50 : x
  2. Step 2: Convert to fraction form
    42,735,663/100,780,924.50 = 100,780,924.50/x
  3. Step 3: Cross multiply
    42,735,663x = 100,780,924.50 × 100,780,924.50
  4. Step 4: Simplify right side
    42,735,663x = 10,156,794,743,074,700
  5. Step 5: Solve for x
    x = 10,156,794,743,074,700/42,735,663
  6. Step 6: Final answer
    x = 237,665,547.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.