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Finding the Third Proportional to 158,282,964 and 343,638,072

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Solution

The third proportional to 158,282,964 and 343,638,072 is: 746,050,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,282,964 : 343,638,072 = 343,638,072 : x
  2. Step 2: Convert to fraction form
    158,282,964/343,638,072 = 343,638,072/x
  3. Step 3: Cross multiply
    158,282,964x = 343,638,072 × 343,638,072
  4. Step 4: Simplify right side
    158,282,964x = 118,087,124,527,877,184
  5. Step 5: Solve for x
    x = 118,087,124,527,877,184/158,282,964
  6. Step 6: Final answer
    x = 746,050,753.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.