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Finding the Third Proportional to 315,480 and 688,060.50

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Solution

The third proportional to 315,480 and 688,060.50 is: 1,500,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480 : 688,060.50 = 688,060.50 : x
  2. Step 2: Convert to fraction form
    315,480/688,060.50 = 688,060.50/x
  3. Step 3: Cross multiply
    315,480x = 688,060.50 × 688,060.50
  4. Step 4: Simplify right side
    315,480x = 473,427,251,660.25
  5. Step 5: Solve for x
    x = 473,427,251,660.25/315,480
  6. Step 6: Final answer
    x = 1,500,656.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.