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Finding the Third Proportional to 133,989,275.25 and 204,925,612.50

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Solution

The third proportional to 133,989,275.25 and 204,925,612.50 is: 313,416,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,989,275.25 : 204,925,612.50 = 204,925,612.50 : x
  2. Step 2: Convert to fraction form
    133,989,275.25/204,925,612.50 = 204,925,612.50/x
  3. Step 3: Cross multiply
    133,989,275.25x = 204,925,612.50 × 204,925,612.50
  4. Step 4: Simplify right side
    133,989,275.25x = 41,994,506,658,500,160
  5. Step 5: Solve for x
    x = 41,994,506,658,500,160/133,989,275.25
  6. Step 6: Final answer
    x = 313,416,925.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.