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Finding the Third Proportional to 78,376,711.50 and 109,622,893.50

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Solution

The third proportional to 78,376,711.50 and 109,622,893.50 is: 153,325,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,711.50 : 109,622,893.50 = 109,622,893.50 : x
  2. Step 2: Convert to fraction form
    78,376,711.50/109,622,893.50 = 109,622,893.50/x
  3. Step 3: Cross multiply
    78,376,711.50x = 109,622,893.50 × 109,622,893.50
  4. Step 4: Simplify right side
    78,376,711.50x = 12,017,178,779,312,342
  5. Step 5: Solve for x
    x = 12,017,178,779,312,342/78,376,711.50
  6. Step 6: Final answer
    x = 153,325,886.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.