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Finding the Third Proportional to 8,430,426 and 19,894,527

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Solution

The third proportional to 8,430,426 and 19,894,527 is: 46,948,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,426 : 19,894,527 = 19,894,527 : x
  2. Step 2: Convert to fraction form
    8,430,426/19,894,527 = 19,894,527/x
  3. Step 3: Cross multiply
    8,430,426x = 19,894,527 × 19,894,527
  4. Step 4: Simplify right side
    8,430,426x = 395,792,204,553,729
  5. Step 5: Solve for x
    x = 395,792,204,553,729/8,430,426
  6. Step 6: Final answer
    x = 46,948,066.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.