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Finding the Third Proportional to 390,057,915 and 812,400,807

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Solution

The third proportional to 390,057,915 and 812,400,807 is: 1,692,043,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057,915 : 812,400,807 = 812,400,807 : x
  2. Step 2: Convert to fraction form
    390,057,915/812,400,807 = 812,400,807/x
  3. Step 3: Cross multiply
    390,057,915x = 812,400,807 × 812,400,807
  4. Step 4: Simplify right side
    390,057,915x = 659,995,071,214,251,264
  5. Step 5: Solve for x
    x = 659,995,071,214,251,264/390,057,915
  6. Step 6: Final answer
    x = 1,692,043,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.