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Finding the Third Proportional to 45,802,948 and 98,779,784

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Solution

The third proportional to 45,802,948 and 98,779,784 is: 213,030,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802,948 : 98,779,784 = 98,779,784 : x
  2. Step 2: Convert to fraction form
    45,802,948/98,779,784 = 98,779,784/x
  3. Step 3: Cross multiply
    45,802,948x = 98,779,784 × 98,779,784
  4. Step 4: Simplify right side
    45,802,948x = 9,757,445,727,086,656
  5. Step 5: Solve for x
    x = 9,757,445,727,086,656/45,802,948
  6. Step 6: Final answer
    x = 213,030,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.