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Finding the Third Proportional to 423,458,400 and 917,265,696

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Solution

The third proportional to 423,458,400 and 917,265,696 is: 1,986,916,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,458,400 : 917,265,696 = 917,265,696 : x
  2. Step 2: Convert to fraction form
    423,458,400/917,265,696 = 917,265,696/x
  3. Step 3: Cross multiply
    423,458,400x = 917,265,696 × 917,265,696
  4. Step 4: Simplify right side
    423,458,400x = 841,376,357,058,364,416
  5. Step 5: Solve for x
    x = 841,376,357,058,364,416/423,458,400
  6. Step 6: Final answer
    x = 1,986,916,204.89

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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.