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Finding the Third Proportional to 78,723,681.75 and 105,977,652.75

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Solution

The third proportional to 78,723,681.75 and 105,977,652.75 is: 142,666,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,723,681.75 : 105,977,652.75 = 105,977,652.75 : x
  2. Step 2: Convert to fraction form
    78,723,681.75/105,977,652.75 = 105,977,652.75/x
  3. Step 3: Cross multiply
    78,723,681.75x = 105,977,652.75 × 105,977,652.75
  4. Step 4: Simplify right side
    78,723,681.75x = 11,231,262,882,399,582
  5. Step 5: Solve for x
    x = 11,231,262,882,399,582/78,723,681.75
  6. Step 6: Final answer
    x = 142,666,890.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.