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Finding the Third Proportional to 287,498,164.50 and 469,408,938.50

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Solution

The third proportional to 287,498,164.50 and 469,408,938.50 is: 766,421,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,498,164.50 : 469,408,938.50 = 469,408,938.50 : x
  2. Step 2: Convert to fraction form
    287,498,164.50/469,408,938.50 = 469,408,938.50/x
  3. Step 3: Cross multiply
    287,498,164.50x = 469,408,938.50 × 469,408,938.50
  4. Step 4: Simplify right side
    287,498,164.50x = 220,344,751,543,696,768
  5. Step 5: Solve for x
    x = 220,344,751,543,696,768/287,498,164.50
  6. Step 6: Final answer
    x = 766,421,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.