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Finding the Third Proportional to 402,129,703.13 and 867,774,260.25

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Solution

The third proportional to 402,129,703.13 and 867,774,260.25 is: 1,872,610,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,129,703.13 : 867,774,260.25 = 867,774,260.25 : x
  2. Step 2: Convert to fraction form
    402,129,703.13/867,774,260.25 = 867,774,260.25/x
  3. Step 3: Cross multiply
    402,129,703.13x = 867,774,260.25 × 867,774,260.25
  4. Step 4: Simplify right side
    402,129,703.13x = 753,032,166,752,434,688
  5. Step 5: Solve for x
    x = 753,032,166,752,434,688/402,129,703.13
  6. Step 6: Final answer
    x = 1,872,610,157.62

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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.