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Finding the Third Proportional to 423,220,840 and 653,701,913

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Solution

The third proportional to 423,220,840 and 653,701,913 is: 1,009,700,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,220,840 : 653,701,913 = 653,701,913 : x
  2. Step 2: Convert to fraction form
    423,220,840/653,701,913 = 653,701,913/x
  3. Step 3: Cross multiply
    423,220,840x = 653,701,913 × 653,701,913
  4. Step 4: Simplify right side
    423,220,840x = 427,326,191,059,859,584
  5. Step 5: Solve for x
    x = 427,326,191,059,859,584/423,220,840
  6. Step 6: Final answer
    x = 1,009,700,257.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.