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Finding the Third Proportional to 78,973,290 and 176,094,436.50

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Solution

The third proportional to 78,973,290 and 176,094,436.50 is: 392,654,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,973,290 : 176,094,436.50 = 176,094,436.50 : x
  2. Step 2: Convert to fraction form
    78,973,290/176,094,436.50 = 176,094,436.50/x
  3. Step 3: Cross multiply
    78,973,290x = 176,094,436.50 × 176,094,436.50
  4. Step 4: Simplify right side
    78,973,290x = 31,009,250,566,252,532
  5. Step 5: Solve for x
    x = 31,009,250,566,252,532/78,973,290
  6. Step 6: Final answer
    x = 392,654,916.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.