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Finding the Third Proportional to 161,938,730 and 349,681,657

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Solution

The third proportional to 161,938,730 and 349,681,657 is: 755,083,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,938,730 : 349,681,657 = 349,681,657 : x
  2. Step 2: Convert to fraction form
    161,938,730/349,681,657 = 349,681,657/x
  3. Step 3: Cross multiply
    161,938,730x = 349,681,657 × 349,681,657
  4. Step 4: Simplify right side
    161,938,730x = 122,277,261,242,265,648
  5. Step 5: Solve for x
    x = 122,277,261,242,265,648/161,938,730
  6. Step 6: Final answer
    x = 755,083,488.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.