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Finding the Third Proportional to 4,205,205 and 6,390,913.50

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Solution

The third proportional to 4,205,205 and 6,390,913.50 is: 9,712,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,205 : 6,390,913.50 = 6,390,913.50 : x
  2. Step 2: Convert to fraction form
    4,205,205/6,390,913.50 = 6,390,913.50/x
  3. Step 3: Cross multiply
    4,205,205x = 6,390,913.50 × 6,390,913.50
  4. Step 4: Simplify right side
    4,205,205x = 40,843,775,364,482.25
  5. Step 5: Solve for x
    x = 40,843,775,364,482.25/4,205,205
  6. Step 6: Final answer
    x = 9,712,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.