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Finding the Third Proportional to 216,785,127 and 309,035,200.50

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Solution

The third proportional to 216,785,127 and 309,035,200.50 is: 440,541,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,785,127 : 309,035,200.50 = 309,035,200.50 : x
  2. Step 2: Convert to fraction form
    216,785,127/309,035,200.50 = 309,035,200.50/x
  3. Step 3: Cross multiply
    216,785,127x = 309,035,200.50 × 309,035,200.50
  4. Step 4: Simplify right side
    216,785,127x = 95,502,755,148,075,200
  5. Step 5: Solve for x
    x = 95,502,755,148,075,200/216,785,127
  6. Step 6: Final answer
    x = 440,541,085.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.