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Finding the Third Proportional to 430,388,509 and 920,613,335

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Solution

The third proportional to 430,388,509 and 920,613,335 is: 1,969,218,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388,509 : 920,613,335 = 920,613,335 : x
  2. Step 2: Convert to fraction form
    430,388,509/920,613,335 = 920,613,335/x
  3. Step 3: Cross multiply
    430,388,509x = 920,613,335 × 920,613,335
  4. Step 4: Simplify right side
    430,388,509x = 847,528,912,579,822,208
  5. Step 5: Solve for x
    x = 847,528,912,579,822,208/430,388,509
  6. Step 6: Final answer
    x = 1,969,218,264.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.