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Finding the Third Proportional to 422,710,875.50 and 857,307,421

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Solution

The third proportional to 422,710,875.50 and 857,307,421 is: 1,738,720,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710,875.50 : 857,307,421 = 857,307,421 : x
  2. Step 2: Convert to fraction form
    422,710,875.50/857,307,421 = 857,307,421/x
  3. Step 3: Cross multiply
    422,710,875.50x = 857,307,421 × 857,307,421
  4. Step 4: Simplify right side
    422,710,875.50x = 734,976,014,101,671,296
  5. Step 5: Solve for x
    x = 734,976,014,101,671,296/422,710,875.50
  6. Step 6: Final answer
    x = 1,738,720,380.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.