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Finding the Third Proportional to 145,624,290 and 312,859,946

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Solution

The third proportional to 145,624,290 and 312,859,946 is: 672,149,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624,290 : 312,859,946 = 312,859,946 : x
  2. Step 2: Convert to fraction form
    145,624,290/312,859,946 = 312,859,946/x
  3. Step 3: Cross multiply
    145,624,290x = 312,859,946 × 312,859,946
  4. Step 4: Simplify right side
    145,624,290x = 97,881,345,811,122,912
  5. Step 5: Solve for x
    x = 97,881,345,811,122,912/145,624,290
  6. Step 6: Final answer
    x = 672,149,857.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.