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Finding the Third Proportional to 45,802,946 and 98,779,780

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Solution

The third proportional to 45,802,946 and 98,779,780 is: 213,030,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802,946 : 98,779,780 = 98,779,780 : x
  2. Step 2: Convert to fraction form
    45,802,946/98,779,780 = 98,779,780/x
  3. Step 3: Cross multiply
    45,802,946x = 98,779,780 × 98,779,780
  4. Step 4: Simplify right side
    45,802,946x = 9,757,444,936,848,400
  5. Step 5: Solve for x
    x = 9,757,444,936,848,400/45,802,946
  6. Step 6: Final answer
    x = 213,030,946.46

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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.