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Finding the Third Proportional to 78,437,376 and 117,181,440

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Solution

The third proportional to 78,437,376 and 117,181,440 is: 175,063,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,437,376 : 117,181,440 = 117,181,440 : x
  2. Step 2: Convert to fraction form
    78,437,376/117,181,440 = 117,181,440/x
  3. Step 3: Cross multiply
    78,437,376x = 117,181,440 × 117,181,440
  4. Step 4: Simplify right side
    78,437,376x = 13,731,489,880,473,600
  5. Step 5: Solve for x
    x = 13,731,489,880,473,600/78,437,376
  6. Step 6: Final answer
    x = 175,063,095.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.