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Finding the Third Proportional to 319,428 and 705,316.50

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Solution

The third proportional to 319,428 and 705,316.50 is: 1,557,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,428 : 705,316.50 = 705,316.50 : x
  2. Step 2: Convert to fraction form
    319,428/705,316.50 = 705,316.50/x
  3. Step 3: Cross multiply
    319,428x = 705,316.50 × 705,316.50
  4. Step 4: Simplify right side
    319,428x = 497,471,365,172.25
  5. Step 5: Solve for x
    x = 497,471,365,172.25/319,428
  6. Step 6: Final answer
    x = 1,557,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.